Question

The width of a rectangle is one half its length. The perimeter of the rectangle is 54 cm. What are the width and length of the

Answer 1

Answer:

Length of rectangle = 18 cm

Width of rectangle = 9 cm

Step-by-step explanation:

Let the length of rectangle be x

$\therefore \: width \: (w) = \frac{1}{2} x \\ \\ perimeter \: of \: rectangle = 54 \: cm \\ \therefore \:2(l + w) = 54 \\ \therefore \:(l + w) = \frac{54}{2} \\ \therefore \:l + w= 27 \\ \\ \therefore \:x + \frac{1}{2} x = 27 \\ \\ \therefore \:\frac{3}{2} x = 27 \\ \\ \therefore \:x = 27 \times \frac{2}{3} \\ \\ \therefore \:x = 9 \times 2 \\ \\ \huge \red{ \boxed{\therefore \:x = 18}} \\ \\ \implies \: \frac{1}{2} x = \frac{1}{2} \times 18 = 9$

Hence

Length of rectangle = 18 cm

Width of rectangle = 9 cm