Question

The length of a rectangle is 64 cm and one of its diagonal measures 80 cm, find the:
(i) breadth
(ii) area.​

Answer 1

Answer:

breadth will be 48cm

area will be 3840 sq. cm

Answer 2

Answer:

Breadth= 24 cm

Area = 1536 cm²

Step-by-step explanation:

There is A rectangle ABCD (Diagram Below)

Length of the rectangle = 64 cm

Diagonal = 80 cm

Lets pick out a triangle from the rectangle ABCD

In Triangle ABC,

AB = base = Length of the rectangle = 64 cm

AC = hypotenuse = Diagonal = 80 cm

By Pythagorus Theorem,

BC² = AC²- BC²

BC²=  80²- 64²

BC²= (80-64)²

BC²= 24²

BC= 24 cm

In rectangle ABCD,

BC= breadth= 24 cm

Area= l*b

      = 64 * 24

      = 1536 cm²