Question

the sides of rectangle are in the ratio of 4:5 and it's perimeter is 90 find the dimension of rectangle and hence his area​

Answer 1

Answer:

Let the breadth and length be 4x and 5x

p of rectangle = 2(l+b)

= 2(4x+5x)=90

4x+5x=45

9x = 45

x=5

Therefore breadth is 4*x= 4*5=20

length5*x=5*5=25

Area = l*b= 20*25

Area = 500

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The sides of the Rectangle are 20 cm and 25 cm.

The area of the Rectangle is 500 sq.unit.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

The ratio of sides of the Rectangle = 4:5

Perimeter of Rectangle = 90 cm

To find :

The Measures of the sides of the Rectangle and It's area.

Solution :

Consider one side as 4x

Second as 5x

★ $\boxed{\sf{2(Length + Breadth)}}$

$\bf{\implies} \: 2(4x + 5x) = 90$

$\sf{\implies} \: 8x + 10x = 90$

$\sf{\implies} \:18x = 90$

$\sf{\implies} \:x = \dfrac{90}{18}$

$\sf{\implies} \: x = 5$

$\rule{300}{1.5}$

★Value of 4x

$\sf{\implies} \: 4 \times 5$

$\sf{\implies} \: 20$

★ Value of 5x

$\sf{\implies} \: 5 \times 5$

$\sf{\implies} \: 25$

The sides of the Rectangle are 20 cm and 25 cm

$\rule{300}{1.5}$

As We got the dimensions of the Rectangle, we can now find the area of the Rectangle.

★ $\boxed{\sf{Area = Length \times Breadth}}$

$\sf{\implies} \: 25 \times 20$

$\sf{\implies} \: 500$

$\therefore$ The area of the Rectangle is 500 sq.unit.