Question

The areas of a square and rectangle are the same.The perimeter of the square is 80 cm .if the length of the rectangle is 25 cm,find it's breadth and perimeter.

Answer 1

Sol'n : Perimeter of the square = 80cm
=> 4 × side(s) = 80
=> s = 80/4
=> s = 20cm

A/Q, Area of the square = area of the rectangle
=> s × s = l × b
=> 20 × 20 = 25 × b
=> b = 400/ 25
=> b = 16cm

.°. The breadth is 16cm
and the Perimeter of the rectangle
= 2(l + b)
= 2 × ( 25 + 16)
= 2 × 41
= 82cm

Hope it'll help...

Answer 2

$here \: the \: area \: of \: rectangle \: and \: square \: are \: same \:$
Perinmeter of square = 80m.
Side of square =
$\frac{perimeter}{4}$

$= \frac{80}{4}$
$= 20m$
so the side of square = 20 m
We know that the area of rectangle and square are same.

Therefore, Area of square =
${(20)}^{2}$
$= 20 \times 20$
$= \: {400m}^{2}$
Area of square = area of rectangle

Length of rectangle = 25m.
Breadth=
$\frac{area}{l}$
$= \frac{400}{25}$
$= 16m$
so the breadth of rectangle= 16m.

Perimeter of rectangle =
$2(l + b)$
$= 2(25 + 16)$
$= 2 \times 41$
$= 82m$