Question

The length and breadth of a rectangle are in the ratio 10:7 its perimetee is 68 cm then find its area​

Answer 1

Solution:-

Required answer:-

• The required area of the rectangle is 280 cm².

Given Information:-

• The length and breadth of a rectangle are in the ratio 10:7 and it's perimeter is 68 cm.

Need to find out:-

• The required area of the rectangle = ?

Required Explanation:-

Let,

• Length = 10y
• Breadth = 7y
• Perimeter = 68 cm

Formula used here:-

• Perimeter of rectangle = 2 × (length + breadth)

Putting the values according to the given formula:-

=> 68 = 2 × (10y + 7y)

=> 68 = 2 × 17y

=> 68 = 34y

=> y = 68/34

=> y = 2 cm

So,

• Breadth of a rectangle = 10 × 2
• Breadth of a rectangle = 20 cm

• Length of a rectangle = 7 × 2
• Length of a rectangle = 14 cm

_____________________

Now, again formula used here:-

• Area of rectangle = Length × Breadth

Putting the values according to the given formula:-

=> Area of rectangle = 20 × 14

=> Area of rectangle = 280 cm²

Hence:-

• The required area of the rectangle is 280 cm².

Answer 2

Required Answer:-

Given:

• The length and breadth of a rectangle are in the ratio 10 : 7.
• Perimeter of the rectangle is 68cm.

To find:

• The area of rectangle.

Answer:

• The area of the rectangle is 280cm²

Solution:

Given that,

Length and breadth are in the ratio 10 : 7

Let the length be 10x and breadth be 7x.

So,

➡ Perimeter = 68cm

➡ 2 × (Length + Breadth) = 68cm

➡ 2 × (10x + 7x) = 68cm

➡ 10x + 7x = 34cm

➡ 17x = 34

➡ x = 34/17

➡ x = 2

Hence,

Length = 10x = 10 × 2 = 20

Breadth = 7x = 7 × 2 = 14.

So,

Area of the rectangle

= Length × Breadth

= 20 × 14cm²

= 280cm²

Hence, the area of the rectangle is 280cm².