Question

a verandah of width 3.5 m is constructed all along outside a room which is 6m long and 5m wide find the area of verandah​

Answer 1

Answer:

Area of the verandah is 126m²

Step-by-step explanation:

Following the figure,

Area of the Verandah :

→ Area of EFGH - Area of ABCD

Step 1 : Calculate the area of ABCD

Given dimensions of ABCD :

→ 6m × 5m

Area of ABCD :

→ 30m²

Area of ABCD is 30m²

Step 2 : Calculate the area of EFGH

Here, the rectangle ABCD is surrounded by 3.5 metre verandah and so formed the rectangle EFGH.

So,

Dimensions of EFGH :

Length = 6 + (2*3.5)

= 6 + 7.0

= 13m

Width = 5 + (2*3.5)

= 5 + 7.0

= 12m

Area of EFGH :

→ 13 × 12

→ 156

Area of EFGH is 156m²

Step 2 : Calculate the area of verandah

Area of the verandah is given by :

→ Area of EFGH - Area of ABCD

→ 156 - 30

→ 126

Area of the verandah is 126m²

--------------------------------------------------

Formula used :

• Area of a rectangle = length × width