Question

The area of a rhombus is 360 cm² and its perimeter is 72 cm. Find the altitude.

Answer 1

Step-by-step explanation:

area=360cm²

perimeter=72cm

4a=72

a=72/4

=18cm(base)

now,

area of rhombus=base ×altitude

360. =18×altitude

altitude =360/18

=20cm

Answer 2

The altitude of the rhombus is 20 cm

Given:

Area of a rhombus = 360 cm²

Perimeter of rhombus = 72 cm

To find:

The altitude of the rhombus.

Solution:

Step 1 of 2:

Perimeter of rhombus is 72 cm

Perimeter of a rhombus = 4 × side

Therefore,

4 × side = 72

Side = $\frac{72}{4}$

Side = 18 cm

Step 2 of 2:

Area of a rhombus is 360 cm²

Area of rhombus = Side × Altitude

Altitude = $\frac{Area}{Side}$

Area = 360 cm²

Side = 18 cm

Altitude = $\frac{360}{18}$

Altitude = 20 cm

Hence, the altitude of the rhombus is 20 cm