Question

a diagram of ryans yard is shown. which expression can ryan use to find the total area of his yard? a. (10 + 4)×(12 + 5) b. (10 + 4)×(12 - 5) c. (12×10)-(5×4) d. (12×10)+(5×4)

Explanation:

Step1: Divide the shape into rectangles

The figure can be divided into two rectangles. One rectangle has dimensions 10 ft by 12 ft and the other has dimensions 4 ft by 5 ft.

Step2: Calculate the total area

The area of the larger rectangle is \(12\times10\) square - feet and the area of the smaller rectangle is \(5\times4\) square - feet. The total area of the yard is the sum of the areas of these two rectangles, which is \((12\times10)+(5\times4)\).

Answer:

D. \((12\times10)+(5\times4)\)