Question

The adjacent sides of a parallelogram are 52m and 56m respectively. If the length of one of the diagonal is 60m , find the area of parallelogram ​

Answer 1

Given :

• First side of the parallelogram = 52m
• Second side of the parallelogram = 56m
• Length of the diagonal of the parallelogram = 60m

To Find :

• Area of the Parallelogram

Solution :

In this question, Adjacent sides of the parallelogram and diagonal of the parallelogram are given and we have to find the area of the parallelogram. We know that Area of Parallelogram is given by ½ × (Sum of adjacent sides) × diagonal . So simply we will put the given values in the formula to find the area of the parallelogram.

Finding Area of the Parallelogram :

• Area = ½ × (Sum of adjacent sides) × diagonal
• Area = ½ × (52 + 56) × 60
• Area = ½ × 108 × 60
• Area = 108 × 30
• Area = 3,240cm²

Therefore :

• Area of the Parallelogram is 3240cm²

━━━━━━━━━━━━━━━━━━━━━━━━

Answer 2

Answer:

from the question÷

a = 52

b = 56

c = 60

Now

s= a+ b+ c ÷ 2.

=52+56+60÷2

= 84 m

Area= √s(s-a) (s-b) (s-c)

=√84(84-52) (84-56) (84-60)

=√1806336

=1344 m^2

Area of parallelogram

Area of ABCD= 2 × area of ∆ABC

= 2×1344

= 2688 m^2