A rectangular garden's length is 5 feet longer than its width. If its perimeter can be represented using the function P(x) = 4x + 10, what is the width of the garden if its perimeter is 38 feet?
let y----------> the length of the rectangle x---------> the width of the rectangle P--------> perimeter of a rectangle
we know that P=38 ft [P]=2*[x+y]------> 38=2*[x+y]------> equation 1 y=5+x-------> equation 2 substitute 2 in 1 P=2*[x+(5+x)]---------> P=4x+10---------> the given equation 4x=38-10--------> 4x=28----> x=7 ft y=5+7-----> y=5+7------> y=12 ft
