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 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?