Question

The length of a rectangle is 2 cm more than 5

times the width. The perimeter is 196 cm. Find
the width and length.

Answer 1

length = 82 cm

width = 16 cm

Explanation:

x = length

y = width

the perimeter of a rectangle is the lengths of all sides added together. so, 2×length plus 2× width

x = 5y + 2

196 = 2x + 2y

let's use the first equation as substitute in the second equation.

196 = 2×(5y + 2) + 2y = 10y + 4 + 2y = 12y + 4

12y = 192

y = 16 cm

x = 5y + 2 = 5×16 + 2 = 80 + 2 = 82 cm