Question

Leroy's backyard is a rectangle that is three times as long as it is wide. What is the perimeter and the area of the yard? First draw a diagram to help you solve the problem. Let a be the width of Leroy's yard. The perimeter is a+3a+a+3a or 8a. The area is l×w; so the backyard area is a×3a or 3a^2. Suppose you know the area of the yard 7,500 square feet how can you find the value of a?

Answer 1

3a^2=7500
a^2=7500/3
a^2=2500
square root of a^2=square root of 2500
a=50