Question

two square flower beds of sides 2m and 3m respectively are dug in a rectangular garden of dimension of 12 m by 10 m what is the area of the remaining part of the garden​

Answer 1

$\huge{ \text{Given}}$

• Two square flower beds of sides 2m and 3m respectively are dug in a rectangular garden of dimension of 12m by 10m

$\huge{ \underline{ \text{To \: find}}}$

• The area of the remaining part of the garden.

❖Understanding the question:-

First,we have to find the total area of the flower beds. Then remove it from the total area of the rectangular garden.

$\huge{ \underline{ \text{ \underline{❣Solution}}}}$

We know that,

$\boxed{ \large{ \sf{ \blue{Area \: of \: a \: square = {a}^{2} }}}}$

Hence,

Area of the 1st flower bed

= 2m × 2m

= 4sq.m.

Area of the 2nd flower bed

= 3m × 3m

= 9sq.m.

Now,

Total area of the flower beds

= 4sq.m. + 9sq.m.

= 13sq.m.

Again,

$\large{ \boxed{ \sf{ \blue{Area \: of \: a \: rectangle = length \times breadth}}}}$

Hence,

Area of the rectangular garden

= 10m × 12m

= 120sq.m.

Now,

Remaining area of the rectangular garden

= 120sq.m. - 13sq.m.

= 107sq.m.

Hence, the area of the remaining part of the rectangular garden is 107sq.m.

✤Hope this helps you mate!!!