Question

The sides of a rectangle are in the ratio 5:4. If its perimeter is 72cm, then its length is :
40cm
30cm
20cm​

Answer 1

Given

Sides of a rectangle are in the ratio 5:4

perimeter of Rectangle is 72cm

To Find

Length of Rectangle

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Sides are given in the ratio 5:4

Let the sides of Rectangle be 5x & 4x

Perimeter of Rectangle=2(length+breadth)

Perimeter of Rectangle= 2( 5x+4x)

=>72= 2(9x)

=>18x=72

=>x=72/18

=>x= 4

Length of Rectangle = 5x= 5×4=20cm

Breadth of Rectangle= 4x= 4×4=16cm

Check:

Perimeter of Rectangle= 2( 20+16)

Perimeter of Rectangle=2(36)= 72cm

Extra information=>

Perimeter is the total distance occupy by a solid 2D figure around its edge.

Area of Rectangle =length × breadth

Properties of Rectangle:

• A rectangle is a type of quadrilateral.
• Opposite sides are parallel & equal
• Sum of all Interior angles makes 360°
• Diagonals bisects each other and both diagonals are of same length.