Question

the area of rhombus is 960 cmsquare . if one of the diagonal is 32cm , find the other diagonal
​

Answer 1

Answer:

value of other diagonal = 60cm

Step-by-step explanation:

given :

area of rhombus = 960 square cm

one diagonal = 32 cm

solution :

the area of rhombus = 1/2×(product of two diagonals)

let the other diagonal be x

then,substituting the values , we get

960 cm square = 1/2 (32cm × x)

that is, 960×2 cm = 32 + x

that is, (1920 / 32 )cm= x

that is, x = 60cm

hence , the value of other diagonal is 60cm

Answer 2

Given

One Diagonal ⇒ 32 cm

Area of Rhombus ⇒ 960 cm²

________________________________

To Find

The measure of the other diagonal.

________________________________

Solution

Area of Rhombus ⇒ 960 cm²

Area of Rhombus ⇒ Diagonal 1 × Diagonal 2 × ¹/₂

Diagonal 1 ⇒ 32 cm

Diagonal 2 ⇒ x cm

Equation to find Diagonal 2 ⇒ 32 × x × ¹/₂ = 960

Let's solve your equation step-by-step.

$32\times x \times \dfrac{1}{2} = 960$

Step 1: Simplify the equation.

⇒ $32\times x \times \dfrac{1}{2} = 960$

⇒ $32x \times \dfrac{1}{2} = 960$

Step 2: Multiply 2 from both sides of the equation.

⇒ $32x \times \dfrac{1}{2} \times 2 = 960\times 2$

⇒ $32x = 1920$

Step 3: Divide 32 from both sides of the equation.

⇒ $\dfrac{32x}{32} = \dfrac{1920}{32}$

⇒ $x = 60$

∴ The value of the other diagonal is 60 cm.

________________________________