Question

a rectangular hall 16 m long and 12m broad is surrounded by 2 metre wide veranda on all the sides find the areas of the verandah

Answer 1

Answer:

  204 sq mtr

Step-by-step explanation:

Given A rectangular hall 16 m long and 12m broad is surrounded by 2 metre wide veranda on all the sides find the areas of the verandah

We know that area of a rectangle is length x breadth

So area of (rectangle + veranda) - area of rectangle

We get (16 + 4)(12 + 4)

   = 20 x 16

 = 320 m

Area of rectangle = length x breadth

                        = 16 x 12 = 192 m

Area of veranda is area of (rectangle + veranda) - area of rectangle

So area of veranda = 320 - 192

                         = 128 sq m

 

Answer 2

Answer:

128 m²

Step-by-step explanation:

See attached

Steps:

Step 1: Find the area of the rectangular hall

Step 2: Find the area of the hall with the 2 m veranda

Step 3: Find the area of the veranda

Formula Needed:

Area of a rectangle = Length x Breadth

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Step 1: Find the area of the rectangular hall

Area = Length x Breadth

Area = 16 x 12

Area = 192 m²

Step 2: Find the area of the hall with the 2 m veranda

There is a width of both sides (See diagram)

⇒ Length = 16 + 2 + 2 = 20 m

⇒ Breadth = 12 + 2 + 2 = 16 m

Area = Length x Breadth

Area = 20 x 16

Area = 320 m²

Step 3: Find the area of the veranda

Area of veranda = Area of hall and veranda - Area of hall

Area of veranda = 320 - 192

Area of veranda = 128 m²

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Answer: The area of the veranda is 128 m²

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