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The length of a rectangular field is twice its breadth. If the area of the field is 288 sq.m., the length of the field is:
- a)14 m
- b)12 m
- c)24 m
- d)16 m
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The length of a rectangular field is twice its breadth. If the area of...
Given:
The length of a rectangular field is twice its breadth.
The area of the field is 288 sq.m.
Concept used:
Area of a rectangle = Length × Breadth
Calculation:
Let the length and breadth of the rectangular field be 2d and d meter respectively.
According to the concept,
2d × d = 288
⇒ 2d2 = 288
⇒ d2 = 144
⇒ d = ± 12
⇒ d = +12 (length can't be negative)
⇒ 2d = 24
∴ The length of the field is 24 meter.
Most Upvoted Answer
The length of a rectangular field is twice its breadth. If the area of...
Given:
The length of a rectangular field is twice its breadth.
The area of the field is 288 sq.m.
Concept used:
Area of a rectangle = Length × Breadth
Calculation:
Let the length and breadth of the rectangular field be 2d and d meter respectively.
According to the concept,
2d × d = 288
⇒ 2d2 = 288
⇒ d2 = 144
⇒ d = ± 12
⇒ d = +12 (length can't be negative)
⇒ 2d = 24
∴ The length of the field is 24 meter.
Community Answer
The length of a rectangular field is twice its breadth. If the area of...
Given information:
- Length of the rectangular field is twice its breadth.
- Area of the field is 288 sq.m.
Let's solve the problem step by step:
Step 1: Define the variables
Let the breadth of the rectangular field be x meters.
Then, the length of the field will be 2x meters.
Step 2: Use the formula for the area of a rectangle
Area of a rectangle = Length x Breadth
Given that the area is 288 sq.m., we can write:
288 = 2x * x
288 = 2x^2
Step 3: Solve for x
Divide both sides by 2:
144 = x^2
Taking the square root of both sides:
x = 12
Step 4: Find the length of the field
Length = 2x = 2 * 12 = 24 meters
Therefore, the length of the rectangular field is 24 meters, which corresponds to option C.
- Length of the rectangular field is twice its breadth.
- Area of the field is 288 sq.m.
Let's solve the problem step by step:
Step 1: Define the variables
Let the breadth of the rectangular field be x meters.
Then, the length of the field will be 2x meters.
Step 2: Use the formula for the area of a rectangle
Area of a rectangle = Length x Breadth
Given that the area is 288 sq.m., we can write:
288 = 2x * x
288 = 2x^2
Step 3: Solve for x
Divide both sides by 2:
144 = x^2
Taking the square root of both sides:
x = 12
Step 4: Find the length of the field
Length = 2x = 2 * 12 = 24 meters
Therefore, the length of the rectangular field is 24 meters, which corresponds to option C.
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The length of a rectangular field is twice its breadth. If the area of the field is 288 sq.m., the length of the field is:a)14 mb)12 mc)24 md)16 mCorrect answer is option 'C'. Can you explain this answer?
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