if The area of the composite figure is 52 square meters. What is the value in meters of the height of the larger rectangle?

1 answer

To find the height of the larger rectangle, we first need to identify the dimensions of the composite figure.

Let the width of the larger rectangle be x meters, and the height of the larger rectangle be y meters.

The area of the larger rectangle is equal to x * y.

Given that the total area of the composite figure is 52 square meters, we can set up the following equation:

Area of larger rectangle + area of smaller rectangle = 52
xy + 20 = 52
xy = 52 - 20
xy = 32
y = 32/x

Since y is the height of the larger rectangle, the value of y in meters is given by:

y = 32/x

Therefore, the height of the larger rectangle in terms of x is 32/x meters.