Question

the area of a square and a parallelogram is the same. if the of the square is 40 m and the base of the parallelogram is 50 m. find the corresponding height of the parallelogram. ​

Answer 1

$area of the square is equal to 40 × 40 = 1600. Let b be the base of the parallelogram, then the area of the parallelogram is equal to 2(0.5 × 20 × 2b) = 1600 . Hence, the length is 20 m.$

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Answer 2

Answer:

The length is 20 m.

Step-by-step explanation:

Since we have that a square and a parallelogram have the same area and if a side of the square is 40 m and the height of the parallelogram is 20 m, we want to find the length of the corresponding base of the parallelogram.

Then, we know that the area of the square is equal to 40 × 40 = 1600.

Let b be the base of the parallelogram, then the area of the parallelogram is equal to 2(0.5 × 20 × 2b) = 1600 .

2(10 × 2b) = 1600

⇔ 20 × 4b = 1600

⇔ 4b = 1600/20

⇔ 4b = 80

⇔ b = 80/4

⇔ b = 20 m

Hence, the length is 20 m.

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