Question

the perimeter of a rectangle is numerically equal to its area if the width of a rectangle is 2 whole 3 by 4 cm then find its length

Answer 1

Answer:

Let the length be x.

according to the question

area of rectangle= to its perimeter.

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

$\frac{11}{4}*x=2(\frac{11}{4} +x)$$\frac{11x}{4} = \frac{11}{2} +2x$

$\frac{11x}{4} -2x=\frac{11}{2}$

$\frac{11x-8x}{4} =\frac{11}{2}$

$\frac{3x}{4} =\frac{11}{2}$

$x=\frac{11}{2} *\frac{4}{3} =\frac{22}{3} cm$

therefore length = 22/3 cm