Question

A rectangular backyard has an area larger than 29 square yards. The shorter side, s, measures 4 yards, and the remaining side measures (r + 4) yards. Which of the following best describes all the possible measurements of r?

a) r > 7.25 yards

b) r > 3.25 yards

c) r > 10.5 yards

d) r > 2.75 yards

Answer 1

we know that

[area of rectangular backyard]=s*(r+4)
area> 29 yd²
s=4 yd

then
4*(r+4) > 29-------------> 4r+16 > 29----------> 4r > 29-16-------> r > 13/4
r > 3.25 yd

the answer is
r > 3.25 yd