Question

The length of a rectangle bus 2 cm less than 7 times the width the perimeter is 156 cm what is the length and width

Answer 1

length = 68 cm and width = 10 cm

let w represent the width then length = 7w - 2

perimeter = 2(length + width) = 2(7w - 2 + w)= 2(8w - 2) = 16w -4

we are given perimeter = 156 thus

16w - 4 = 156 → (solve for w)

add 4 to both sides

16w = 156 + 4 = 160

divide both sides by 16

w = $\frac{160}{16}$ = 10

thus width = 10 cm and length = (7 × 10) - 2 = 70 - 2 = 68 cm