Question

the length of a rectangle is seven more than triple the width. if the perimeter is 166 inches , find the dimension

Answer 1

Width = 3.773 inches

Length = 79.227 inches-

Explanation:

g = 7(3w) Eq. 1

166 = 2(g+w) Eq. 2

g = length

w = width

From Eq, 1:

g = 21w Eq. 3

Replacing Eq. 3 in Eq. 2

166 = 2(21w + w)

166 = 2(22w)

166 = 44w

166/44 = w

w = 3.773

From Eq. 3

g = 21(3.773)

g = 79.227

Check:

From Eq. 2:

166 = 2(79.227 + 3.773) = 2 * 83