If the shaded area represents a kids playground in a rectangular park, what is the perimeter of the rectangular park?(1) At a rate of $80 per meter, it costs $1920 to fence the two smaller sides of the kids playground.(2) The area of the kids playground is 64 m2.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer?

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If the shaded area represents a kids’ playground in a rectangular park, what is the perimeter of the rectangular park?

(1) At a rate of $80 per meter, it costs $1920 to fence the two smaller sides of the kids’ playground.

(2) The area of the kids’ playground is 64 m².

a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
c)
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
d)
EACH statement ALONE is sufficient.
e)
Statements (1) and (2) TOGETHER are NOT sufficient.

Correct answer is option 'A'. Can you explain this answer?

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Test: Rectangles And Squares- 1

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If the shaded area represents a kids’ playground in a rectangula...

Steps 1 and 2 – Understand the question statement and draw inferences

To find – perimeter of rectangular park = 2 (a+b)

Given -The shaded area is as shown with the measurements in the figure.

Base of triangular shaded area = a/2
Height of triangular shaded area = b/2

Step 3 – Analyze Statement 1

At a rate of $80 per meter, it costs $1920 to fence the two smaller sides of the kids’ playground

Cost to fence = $1920

Fencing rate = $80/m

Therefore, length of the two smaller sides = 1920/ 80 = 24

So, we can write the equation:

We know the sum of a and b
Thus, we can find the value of perimeter of the rectangle as 2(a+b)

Statement 1 provides sufficient information to arrive at a unique answer.

Step 4 – Analyze Statement 2

The area of the kids’ playground is 64 m²

or ab = 512

This relationship gives us the product of a and b.
It does not give us the individual values of a and b or the sum of a and b
Thus, we cannot find the value of perimeter of the rectangle.

Statement 2 does not provide sufficient information to arrive at a unique answer.

Step 5 – Analyze Statement 1 and 2 together

Since statement 1 already provides sufficient information to arrive at a unique answer, we do not need to do step 5.

Correct Answer – Choice A

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If the shaded area represents a kids’ playground in a rectangular park, what is the perimeter of the rectangular park?(1) At a rate of $80 per meter, it costs $1920 to fence the two smaller sides of the kids’ playground.(2) The area of the kids’ playground is 64 m2.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer?

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If the shaded area represents a kids’ playground in a rectangular park, what is the perimeter of the rectangular park?(1) At a rate of $80 per meter, it costs $1920 to fence the two smaller sides of the kids’ playground.(2) The area of the kids’ playground is 64 m2.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If the shaded area represents a kids’ playground in a rectangular park, what is the perimeter of the rectangular park?(1) At a rate of $80 per meter, it costs $1920 to fence the two smaller sides of the kids’ playground.(2) The area of the kids’ playground is 64 m2.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the shaded area represents a kids’ playground in a rectangular park, what is the perimeter of the rectangular park?(1) At a rate of $80 per meter, it costs $1920 to fence the two smaller sides of the kids’ playground.(2) The area of the kids’ playground is 64 m2.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer?.

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