Question

In the blueprint for A rectangular balcony is 1 inch by 1.75 inches if the actual length is 7 feet what is the perimeter

Answer 1

22 feet

Explanation:

Given

• In blue print,dimensions of rectangular balcony are, length(l)=1.75inch and breadth(b)=1inch
• The actual length(L)=7 feet

To find the actual perimeter, we need the breadth of balcony(B)

The ratio of length to breadth in blue print must be equal to the ratio of actual length to breadth

⇒

`\frac{\text{length of rectangular balcony in blueprint}}{\text{breadth of rectangular balcony in blueprint}} =\frac{\text{length of rectangular balcony actually}}{\text{breadth of rectangular balcony actually}}`

`(l)/(b) =(L)/(B) \\B* l=L * b\\B= (L * b)/(l)=(7 * 1)/(1.75) =4`

Therefore Breadth actually=4 feet

⇒Perimeter

`=2*(length+breadth)\\=2*(7+4)\\=2*(11)\\=22`

Therefore perimeter of rectangular balcony= 22 feet