# The perimeter of a rectangular floor is 90 feet. How do you find the dimensions of the floor if the length is twice the width?

Dec 20, 2015

Length of the rectangle $= 15$ feet
Breadth of the rectangle $= 30$ feet.

#### Explanation:

Let the breadth of the rectangle $= x$

So, the length of the rectangle $= \textcolor{b l u e}{2} \times x$

The perimeter given $= 90$ feet

As per the formula for perimeter of a rectangle

Perimeter $= 2 \times$ (length + breadth )

$90 = 2 \times \left(x + 2 x\right)$

$90 = 2 \times \left(3 x\right)$

$90 = 6 x$

$x = \frac{90}{6}$

color(blue)(x=15

So the length of the rectangle $= 15$ feet, breadth of the rectangle $= 30$ feet.