Question

The area of a rectangle 22 m wide is 836 m. Calculate the length of the rectangle. Also, if the perimeter of
a square is the same as the perimeter of the rectangle, calculate the side and the area of the square.​

Answer 1

Answer:

$\huge\sf\purple{Question}$

The area of a rectangle 22 m wide is 836 m. Calculate the length of the rectangle. Also, if the perimeter of a square is the same as the perimeter of the rectangle, calculate the side and the area of the square .

$\huge\sf\purple{Answer}$

$\sf\pink{Given:}$

• Area of rectangle = 836 m²

• width of the rectangle = 22 m

• Perimeter of square = Perimeter of rectangle

$\sf\pink{To\:Find:}$

• Length of the rectangle = ?

• Side of the square = ?

• Area of the square = ?

$\huge\sf\orange{Explanation:}$

Area of rectangle = length × width

➡️ 836 = l × 22

➡️ l = 836/22

➡️ l = 38 m

• Therefore length of the rectangle is 38 m

Perimeter of rectangle = 2×(l+b)

➡️ 2 × (22+38)

➡️ 2 × 60

➡️ 120 m

• Therefore perimeter of rectangle is 120 m

Perimeter of square = perimeter of rectangle = 120 m

Perimeter of square = 4 × side

➡️ 120 = 4 × side

➡️ side = 120/4

➡️ side = 30 m

• Therefore side of square is 30 m

Area of square = side²

➡️ 30²

➡️ 900 m²

• Therefore area of square is 900 m²

Answer 2

Answer:

Area of rec = 836m

width of rec =22m

Area of rec = L × B

22 m = L × 836 m

L= 836/22

L = 38 m

perimeter of rec = 2(l+b)

= 2(38 +22)

= 2×60

= 120

thus as given peri of rec = peri of sq so

peri of sq = 120

peri of sq = 4× side

120m = 4×side

side = 120/4

=30m

area of sq = side×side

= 30×30

900m sq