Question

1.) The area of a square is 49 square cm. How long is each side?

2.) Anisha's bedroom is 9 m long and 5 m wide. How much carpet will Anisha need to cover the floor of her bedroom?

3.) The length of a rectangular garden is 3 times of its breadth. If the breadth is 10m, find the area of this field.

4.)A rectangular plot of length 12m and breadth 10m is sold at the rate of 1500 per sq m. Find the cost of the plot.​

Answer 1

Answer:

If the area is 49 cm squared, then each side length would be 7 cm as the side length is always the square root of the area in a square.

Answer 2

Question:-

1.) The area of a square is 49 square cm. How long is each side?

2.) Anisha's bedroom is 9 m long and 5 m wide. How much carpet will Anisha need to cover the floor of her bedroom?

3.) The length of a rectangular garden is 3 times of its breadth. If the breadth is 10m, find the area of this field.

4.)A rectangular plot of length 12m and breadth 10m is sold at the rate of 1500 per sq m. Find the cost of the plot.

Answer:-

1. Side of square is 7 cm.
2. The length of carpet required to cover the floor is 45 m.
3. The area of garden is 300 m².
4. The total cost of the plot is ₹180,000

Solution:-

$_________________________________$

1)

• Area = 49 cm²

$\purple{ \underline{ \mathfrak { \large{ \pink{area = {side}^{2} }}}}}$

$\large{ \tt : \implies \: \: \: \: {side}^{2} = 49}$

$\large{ \tt : \implies \: \: \: \:side = \sqrt{49} }$

$\large{ \tt : \implies \: \: \: \:side = 7 \: cm}$

$_________________________________$

2)

• Length = 9 m
• Breadth = 5 m

$\large{ \pink{ \underline{ \mathfrak{ \green{area = l \times b}}}}}$

$\large{ \tt : \implies \: \: \: \:area = 9 \times 5}$

$\large{ \tt : \implies \: \: \: \:area = 45 \: {m}^{2} }$

$_________________________________$

3)

• Breadth = 10 m
• Length = 3× Breadth = 3×10 = 30 m

$\large{ \pink{ \underline{ \mathfrak{ \blue{area = l \times b}}}}}$

$\large{ \tt : \implies \: \: \: \:area = 10 \times 30}$

$\large{ \tt : \implies \: \: \: \:area =300 \: {m}^{2} }$

$_________________________________$

4)

• Length = 12 m
• Breadth = 10 m

$\large{ \pink{ \underline{ \mathfrak{ \purple{area = l \times b}}}}}$

$\large{ \tt : \implies \: \: \: \:area = 10 \times 12}$

$\large{ \tt : \implies \: \: \: \:area =120 \: {m}^{2} }$

• Cost (per m²) = ₹1500

$\large{ \tt : \implies \: \: \: \:total \: cost = \: 1500 \times 120}$

$\large{ \tt : \implies \: \: \: \:total \: cost =Rs.180,000}$

$_________________________________$