Two identical square paintings are pasted on a rectangular wooden display board such that the edges of each painting are parallel to the corresponding edges of the display board and the two paintings are symmetrical about an imaginary line passing through the middle of the display board. The margins between the paintings and between the paintings and the board are as shown in the figure above. If the area of the display board is 66 square units, what is the area of each square painting?a)4 square unitsb)7.5 square unitsc)8 square unitsd)16 square unitse)25 square unitsCorrect answer is option 'D'. Can you explain this answer?

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Two identical square paintings are pasted on a rectangular wooden display board such that the edges of each painting are parallel to the corresponding edges of the display board and the two paintings are symmetrical about an imaginary line passing through the middle of the display board. The margins between the paintings and between the paintings and the board are as shown in the figure above. If the area of the display board is 66 square units, what is the area of each square painting?

a)
4 square units
b)
7.5 square units
c)
8 square units
d)
16 square units
e)
25 square units

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

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Test: Rectangles And Squares- 2

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Two identical square paintings are pasted on a rectangular wooden disp...

Given

Let the length and the breadth of the display board be L and B respectively.
The area of the board = 66 square units
- LB = 66
Let the side of each identical square painting be S
So, L, B, S and the given margins can be shown in the figure as below:

To Find: The area of one square painting

Approach and working:

Area of one square painting = S²

So, to answer the question, we need to find the value of S.

To find the value of S, we need to draft an equation in terms of S. We’re given that LB = 66. So, if we can express L and B in terms of S, we will get an equation in terms of S.

Finding the value of S

Rejecting the negative value since length cannot be negative.
Therefore, S = 4
Finding the value of required Area
- So, Area of one square painting = S² = 4² = 16 square units

Looking at the answer choices, we see that the correct answer is Option D

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Two identical square paintings are pasted on a rectangular wooden display board such that the edges of each painting are parallel to the corresponding edges of the display board and the two paintings are symmetrical about an imaginary line passing through the middle of the display board. The margins between the paintings and between the paintings and the board are as shown in the figure above. If the area of the display board is 66 square units, what is the area of each square painting?a)4 square unitsb)7.5 square unitsc)8 square unitsd)16 square unitse)25 square unitsCorrect answer is option 'D'. 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 Two identical square paintings are pasted on a rectangular wooden display board such that the edges of each painting are parallel to the corresponding edges of the display board and the two paintings are symmetrical about an imaginary line passing through the middle of the display board. The margins between the paintings and between the paintings and the board are as shown in the figure above. If the area of the display board is 66 square units, what is the area of each square painting?a)4 square unitsb)7.5 square unitsc)8 square unitsd)16 square unitse)25 square unitsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two identical square paintings are pasted on a rectangular wooden display board such that the edges of each painting are parallel to the corresponding edges of the display board and the two paintings are symmetrical about an imaginary line passing through the middle of the display board. The margins between the paintings and between the paintings and the board are as shown in the figure above. If the area of the display board is 66 square units, what is the area of each square painting?a)4 square unitsb)7.5 square unitsc)8 square unitsd)16 square unitse)25 square unitsCorrect answer is option 'D'. Can you explain this answer?.

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