Question

12. The length of one side of

a rectangle is
12cm.
The length of the diagnol of
the rectangle is 13cm
Calculate the area of the
rectangle

Answer 1

Answer :- 60 cm^2

Step-by-Step Solution :-

Let ABCD be the Rectangle.

Given :

AD = 12 cm

BD = 13 cm

To Find : Area of ABCD

Solution :

In ∆ADB,

AD = 12 cm and BD = 13 cm

By Pythagoras Theorem,

(BD)^2 = (AD)^2 + (AB)^2

13^2 = 12^2 + (AB)^2

169 = 144 + (AB)^2

AB^2 = 169 - 144 = 25

AB = √25

Therefore, AB = 5 cm

Now, to find the Area,

Area of Rectangle = length × breadth

Area of ABCD = 12 × 5

Therefore, Area of ABCD = 60 cm^2