Question

Find the area of a rhombus with diagonals 9 ft. and 12 ft.

49 sq. ft.
54 sq. ft.
108 sq. ft.

Answer 1

Formula for area of a rhombus is:
A = pq/2
p and q are standing in for diagonal values so just plug
A = (9)(12)/2
A = 108/2
A = 54 ft²

Answer 2

Option (2) is correct.

The area of rhombus is 54 square feet.

Explanation:

Given : A rhombus with diagonals 9 ft. and 12 ft.

We have to find the area of a rhombus with diagonals 9 ft. and 12 ft.

Area of rhombus is given by the half the product of its diagonals.

Mathematically written as

`\text{Area of rhombus}=(1)/(2)* d_1 * d_2`

Where
`d_1\ and\ d_2` are the diagonals of rhombus.

given :
`d_1=9\ and\ d_2=12`

Subsititue, we have,

`\text{Area of rhombus}=(1)/(2)* 9* 12`

Simplify, we have,

`\text{Area of rhombus}=54`

Thus, the area of rhombus is 54 square feet.