Question

the area of a rhombus is 90 square units. If one diagonal is 10 units, find the length of the other diagonal

Answer 1

Using the area formula for a rhombus and knowing one diagonal, the length of the other diagonal is calculated to be 18 units.

Step-by-step explanation:

The area of a rhombus is given by the formula Area = (d1 x d2) / 2, where d1 and d2 are the lengths of the diagonals. If the area of the rhombus is 90 square units and one diagonal (d1) is 10 units, we need to find the length of the other diagonal (d2).

We can rearrange the formula to solve for d2:

• Area = (d1 x d2) / 2
• Area x 2 = d1 x d2
• (Area x 2) / d1 = d2
• d2 = (90 x 2) / 10
• d2 = 180 / 10
• d2 = 18 units

Therefore, the length of the other diagonal of the rhombus is 18 units.

Answer 2

18 units

Step-by-step explanation:

Area of rhombus is given by 1/2(product of length of diagonals).

Given

Area of rhombus = 90 sq. units

length of one diagonal = 10 units

let the length of other diagonal be x units

Substituing the value given above in formula for area of rhombus we have

90 = 1/2(10*x)

=> 90*2 = 10x

=> 180 = 10x

=> x = 180/10 = 18

Thus, length of other diagonal is 18 units.