Question 234520
We are given one side and a diagonal.

We can think of the side as one of the legs of a right triangle and the diagonal as the hypotenuse of the same right triangle.

We need to find the other leg as step one.

To do this, we use the Pythagoren Theorem from geometry.

(leg)^2 + (leg)^2 = (hypotenuse)^2

(leg)^2 + 7^2 = 25^2

(leg)^2 + 49 = 625

(leg)^2 = 625 - 49

(leg)^2 = 576

Take square root of both sides.

leg = 24

So, the other side of the rectangle is 24 feet.

We now use two formulas:

To find the area, use A = length times width.

To find the perimeter use, P = 2(length) + 2(width).

A = 7 times 24

A = 168ft^2

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P = 2(24) + 2(7)

P = 48 + 14

P = 62 feet