Question

A room is 16 metre long and 8.5 metre wide if the square carpet of 10.5 M is laid on the floor then find the area which is left uncarpated

Answer 1

Answer:

area of uncarpeted=

area of room- area of square carpet

=(16*8.5)-(10.5*10.5)

=25.75

Answer 2

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \: \: SOLUTION } \mid}}}}}$

Given,

Length of the rectangular room = 16 m

Width of the rectangular room = 8.5 m

Length of a side of the square carpet = 10.5 m

The square carpet is laid on the floor of the room.

To find :

The area left uncarpeted = ?

We know that,

$\boxed{ \tt{ \: 1. \: Area \: \: of \: \: a \: \: rectangle = Length \times Width \: }} \\ \\ \boxed{ \tt{ \: 2. \: Area \: \: of \: \: a \: \: square = Side \times Side}}$

Using these formulas :

↠ Area of the room = Length × Width

= 16 m × 8.5 m

= 136 m²

↠ Area of the carpet = Side × Side

= 10.5 m × 10.5 m

= 110.25 m²

∴ The area left uncarpeted = Area of the room - Area of the carpet

= 136 m² - 110.25 m²

= 25.75 m²

So, when the square carpet of 10.5 m is laid on the floor of the room 16 m long and 8.5 m wide, then the area left uncarpeted is 25.75 m².