Question

the width of a rectangle is two third its length if the perimeter is 180metres find the dimensions of the rectangle​

Answer 1

Answer

Length=54

Breadth=36

Step-by-step explanation:

Let length of rectangle be x.

$= > breadth = \frac{2}{3} x$

Perimeter of a recatngle

$= 2(length + breadth)$

$= > 180 = 2(x + \frac{2}{3} x)$

$= > 180 = 2( \frac{2 + 3}{3} x)$

$= >180 = 2 \times \frac{5}{3}x$

$= > x = \frac{180 \times 3}{5 \times 2}$

$= > x = 54$

Therefore length=54

Breadth=

$\frac{2}{3} x = \frac{2}{3} \times 54 = 36$