Question

) The auditorium of a school has the length of 47m and breadth of 15m. A carpet is laid inside the auditorium leaving all around a margin of 3m from the walls. Find the area of the strip left uncovered

Answer 1

Question

The auditorium of a school has the length of 47m and breadth of 15m. A carpet is laid inside the auditorium leaving all around a margin of 3m from the walls. Find the area of the strip left uncovered.

$\rule{300}{1}$

Answer

Length of the Auditorium ⇒  47m

Breadth of the Auditorium ⇒ 15m

Area of Rectangle ⇒ Length × Breadth

Area of Auditorium ⇒  47×15 = 705m²

According to the question we know that the carpet is laid inside the auditorium leaving all around a margin of 3m of the walls.

Length of Carpet ⇒ 47-3-3 = 41m

Breadth of Carpet ⇒ 15-3-3 = 9m

Area of Rectangle ⇒ Length × Breadth

Area of Carpet ⇒ 41×9 = 369  m²

Area of the strip which was left uncovered ⇒  Area of Auditorium - Carpet Area

Area of strip which was left uncovered ⇒ 705-369 = 336m²

∴ 336m² is the area of the strip that was left uncovered.

$\rule{300}{1}$