Question

Q1.the area of rhombus is 960 cmsquare . if one of the diagonal is 32cm , find the other diagonal.
​

Answer 1

Step-by-step explanation:

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.

$⇒ \dfrac{32x}{32} = \dfrac{1920}{32} </p><p>$

∴ The value of the other diagonal is 60 cm.

________________________________

Answer 2

Step-by-step explanation:

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} = 96032×x×

2

1

=960

Step 1: Simplify the equation.

⇒ 32\times x \times \dfrac{1}{2} = 96032×x×

2

1

=960

⇒ 32x \times \dfrac{1}{2} = 96032x×

2

1

=960

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

⇒ 32x \times \dfrac{1}{2} \times 2 = 960\times 232x×

2

1

×2=960×2

⇒ 32x = 192032x=1920

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

⇒ \dfrac{32x}{32} = \dfrac{1920}{32}

32

32x

=

32

1920

⇒ x = 60x=60

∴ The value of the other diagonal is 60 cm.

________________________________