The length of a rectangle is (x + 3) inches long, and the width is 3 inches. If the area is 45 square inches, Solve an equation to find the length of the rectangle

Question

The length of a rectangle is (x + 3) inches long, and the width is 3 inches. If the area is 45 square inches, Solve an equation to find the length of the rectangle

Answer 1

(x+3)x = x^2 + 3x =45

x+3/2 = square root of (45+ 9/4) = sqr(189/4) = (1/2)sqr189)

x = -3/2 + (1/2)sqr189 = -1.5 + .5(13.75) = -1.5 + 6.9 = 5.4 inches approximately for width

length = 8.4 inches

5.4 x 8.4 = 45.3

the length is slightly less than 8.4

width slightly less than 8.4