Question

a rectangle has same area as that of a square of side 10 metre if the breadth of the rectangle is 8 metre find the perimeter of the rectangle

Answer 1

Answer:

The perimeter of the rectangle is 41 m.

Step-by-step explanation:

• To find the area of the square,

Side of the square = 10 m

Area of a square = Side * Side

⇒ Area = 10 * 10

⇒ Area = 100 m²

________________________________

Breadth of the rectangle (b) = 8 m

Area of the rectangle = Area of the square = 100 m²

• To find the length (l),

Area of a rectangle = Length * Breadth

⇒ 100 = 8l

⇒ l = 100/8

⇒ l = 12.5 m

_____________________________________

• To find the perimeter,

Perimeter of a rectangle = 2(l + b)

⇒ Perimeter = 2(12.5 + 8)

⇒ Perimeter = 2 * 20.5

⇒ Perimeter = 41 m

______________________________________

Hope it helps!

Answer 2

Answer:-

★ Given:

• Area of square = Area of rectangle

• Side of square = 10m

• Breadth of rectangle = 8m

★ To Find:

• Perimeter of rectangle

★ Solution:

➣ Finding area of square

Area of square

= Side × Side

= 10 × 10

= 100m²

➣ Finding length of rectangle

According to given conditions;

Area of rectangle = Area of square

➟ length × breadth = 100m²

➟ length × 8 = 100m²

➟ length = 100 ÷ 8

➟ length = 12.5 m

∴ Length = 12.5 m

➣ Finding Perimeter of rectangle

Perimeter of rectangle

= 2 (length + breadth)

= 2 (12.5 + 8)

= 2 × 20.5

= 41m

∴ Perimeter of rectangle is 41m.

Formula to be remembered:-

▪︎Perimeter of square = 4 × Side

▪︎Perimeter of rectangle = 2(l + b)

▪︎Perimeter of triangle = sum of all sides

▪︎Area of square = Side × Side

▪︎Area of rectangle = length × breadth

▪︎Area of triangle = ½ × Base × Height

Or

By Heron's Formula