Question

The length of a rectangle is 9 inches more than three times the width. The perimeter is 98 inches. Find the length and width

Answer 1

l = 9 + 3w (where l is length and w, width)
2(l + w) = 98
2(9 + 3w + w) = 98
2(9 + 4w) = 98
9 + 4w = 98/2 = 49
4w = 49 - 9 = 40
w = 40/4 = 10 inches
l = 9 + 3w = 9 + (3 * 10) = 9 + 30 = 39

Therefore, length = 39 inches and width = 10 inches