Question

Find the area of the rhombus.
Please need help

Answer 1

96cm². The are of the rhombus of the image is 96cm².

The key to solve this exercise is breaking down the rhombus in four equals right triangles, each triangle has the sides 10cm, 8cm and 6cm. We can calculate the area of one right triangle and multiply by 4 in order to get the total area of the rhombus.

The area of a triangle is
`A_(t)=(bxh)/(2)` where b is the base and h is the height.

The base of the one right triangle is 8cm and the height is the leg adyacent to the right angle that is 6cm. Calculating the area of the right triangle:

`A_(t)=(8cmx6cm)/(2)=(48cm^(2) )/(2) =24cm^(2)`

The total area of the rhombus is
`A = 4A_(t)`

`A = 4x24cm^(2)=96cm^(2)`

Answer 2

96cm2

Explanation:

Area of rhombus=1÷2×d1×d2

=1÷2×12×16

=96