Question

The area of a rhombus is 336 sq. units. If one of the diagonals is 14 units, find the length of the other diagonal​

Answer 1

Answer:

48 units

Step-by-step explanation:

Area of rhombus= 336 sq. units

First diagonal= 14 units

then,

Area of rhombus= 1/2×d1×d2

336=1/2×14×d2

D2= 336/7

D2=48 units

Answer 2

Given:-

• The area of a rhombus is 336 sq.units.

• One of the diagonals of the rhombus is 14 units.

To Find:-

• Find the length of the other diagonal.

Concept:-

• Let's go through the concept first. Concept applied here is Area of a Rhombus. Substitute the given values in the equation and find the length of the other diagonal.

Formulae Applied:-

• Area of a Rhombus = 1/2 × d1 × d2

Solution:-

Let the length of the other diagonal be x.

Length of the 1st diagonal = 14 units

Length of 2nd diagonal = ??

Area of the rhombus = 336^2 units

According to the question we have!

Area of a Rhombus = 1/2 × d1 × d2

⟹ 1/2 × d1 × d2

⟹ 1/2 × d1 × d2 = 336

⟹ 1/2 × 14 × d2 = 336

⟹ 7 × d2 = 336

⟹ 7d2 = 336

⟹ d2 = 336/7

⟹ d2 = 48

⟹ 48 units

Hence,

The length of the second diagonal is 48 units.

Verification:-

1/2 × d1 × d2 = 336

d2 = 48

⟹ 1/2 × 14 × 48 = 336

⟹ 7 × 48 = 336

⟹ 336 = 336

⟹ LHS = RHS

Hence,

It is verified.

$\:$