If perimeter of a rhombus is 100 cm and length of one diagonal is 48 c

1.	If perimeter of a rhombus is 100 cm and length of one diagonal is 48 cm, whatis the area of the quadrilateral?3.
Answer» A rhombus has four equal sides. The perimeter of a rhombus is 100 cm. 4a=100a=25 The measure of each side is 25. 4a^2=d1^2+d2^2 Where, a is side length and d₁ and d₂ are diagonals. 4(25)^2=(48)^2+d2^22500=2304+d2^2d2=√2500-2304d2=14 The area of rhombus isA=1/2(d1d2)A=1/2(48)(14)A=336cm^2 Therefor the area of quadrilateral is 336 cm².

If perimeter of a rhombus is 100 cm and length of one diagonal is 48 cm, whatis the area of the quadrilateral?3.

Answer»

A rhombus has four equal sides. The perimeter of a rhombus is 100 cm.

4a=100a=25

The measure of each side is 25.

4a^2=d1^2+d2^2

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

4(25)^2=(48)^2+d2^22500=2304+d2^2d2=√2500-2304d2=14

The area of rhombus isA=1/2(d1d2)A=1/2(48)(14)A=336cm^2

Therefor the area of quadrilateral is 336 cm².