Question

A rectangle has a length of x centimeters and the width is one-third its length. If the perimeter is 75, what is the length and the width?

Answer 1

length = x cm

breadth = x/3 cm

perimeter = 75 cm

2 (length + breadth) = 75

$2(x+\frac{x}{3} )=75$

$2(\frac{3x+x}{3} )=75$

$2(\frac{4x}{3} )=75$

$\frac{8x}{3} =75$

$8x=225$

$x=\frac{225}{8}$

x = 28.125

length = 28.125 cm

breadth = 9.375 cm