1.

If perimeter of a rhombus is 100 cm and length of one diagonal is 48 cm, what is the area of the quadrilateral?

Answer»

Answer:

The area of QUADRILATERAL is 336 cm².

Step-by-step EXPLANATION:

A rhombus has four EQUAL SIDES. The perimeter of a rhombus is 100 cm.

4a=100

a=25

The measure of each side is 25.

4a^2=d_1^2+d_2^2

Where, a is side length and d₁ and d₂ are diagonals.

4(25)^2=(48)^2+d_2^2

2500=2304+d_2^2

d_2=\sqrt{2500-2304}

d_2=14

The area of rhombus is

A=\frac{1}{2}(d_1d_2)

A=\frac{1}{2}\times 48\times 14

A=336

Therefor the area of quadrilateral is 336 cm².



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