Question

The perimeter of a rhombus ABCD is 80 cm. Find the area of rhombus if its diagonal BD measures 12 cm.

Answer 1

Answer:

pls mark it as brainliest

Step-by-step explanation:

Given,

Diagonal BD of rhombus = 12cm

Perimeter of rhombus = 40cm

4s = 40

s = 40/4

s = 10cm

Now,

Divide the rhombus into four right angled triangles.

Such that, every triangle has a hypotrneuse of 10cm

12/2 = 6cm

Using pythagorus therom :

= √10² - 6²

= 8cm

Now,

8+8= 16cm (sum of the bases of two triangles = measure of d1)

Area of rhombus = 1/2 × d1 × d2

= 1/2 × 16 × 12

= 96cm²

Therefore, diagonal AC = 16cm and the area of rhombus = 96cm²