Question

the perimeter of a rectangle is 40 cm and the ratio of its length and breadth is 3 is to 2 find the length of its diagonal and its area

Answer 1

Answer:

diagonal = 14.42cm

area = 96 sq.cm

Step-by-step explanation:

let the length be 3x and breadth be 2x..

perimeter of rectangle =

2(3x +2x)

40 = 2 × 5x

20 = 5x

x = 4 cm

therefore length = 3x = 12 cm

breadth = 2x = 8 cm

area of rectangle = 12 × 8

= 96 sq.cm

we can find diagonal(d) by using pythagoras theorem

d^2 = 12^2 + 8^2

= 144 + 64 = 208

d = 14.42 cm

Answer 2

ANSWER

PERIMETER OF THE RECTANGLE=40CM

LENGTH OF THE RECTANGLE=LENGTH:BREADTH= 3:2LENGTH= 24

DIAGONAL=24dividesby 4 parts

= 6

AREA= 24(16)

=384