Question

The perimeter of a rhombus is 56 m and its height is 5 m. find the area of the rhombus.

Answer 1

area = b×h
=(56/4)×5=
14×5
=70m.^2

Answer 2

If the perimeter of a rhombus is 56 m and its height is 5 m, then the area of the rhombus is 70 m².

Step-by-step explanation:

Step 1:

The perimeter of the rhombus is given as 56 m

We know that the formula of the perimeter of a rhombus is given as,

Perimeter = 4 * side of rhombus

∴ 56 = 4 * [side of rhombus]

⇒ Side of rhombus = $\frac{56}{4}$ = 14 m

Step 2:

The height of the rhombus, h = 5 m

The formula of the area of the rhombus is given by,

Area = base * height

Substituting the value of base and height in the formula of area, we get

Area = 14 * 5 = 70 m²

Thus, the area of the rhombus is 70 m².

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