Suppose you know the base of a rectangle has a length of 4 inches and a diagonal has a length of 5 inches. Find the area of the rectangle.

The area of the rectangle is A = 12 inches²

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be A

Let's use the Pythagorean theorem to find the length of the other side of the rectangle.

Let's call the length of the other side "x".

Using the Pythagorean theorem, we have:

x^2 + 4^2 = 5^2

Simplifying and solving for x, we get:

x^2 + 16 = 25

x^2 = 9

x = 3

So the length of the other side of the rectangle is 3 inches.

To find the area of the rectangle, we multiply the length by the width:

Area of rectangle A = length x width = 4 x 3 = 12 inches²

Hence , the area of the rectangle is 12 square inches

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