Question

Ravish wanted to make a temporary shelter for his car by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). How much tarpaulin would be required to make the shelter of height 2.5 m with base dimensions $4m\times 3m?$

• A. $47m^2$
• B. $30m^2$
• C. $54m^2$
• D. $37m^2$

Answer 1

The correct option is A

$47m^2$

Length of base (l) = 4 m

Breadth (b) = 3 m

Height (h) = 2.5 m

$\therefore \text{Area of tarpaulin used}$

$=\text{Area of 4-walls+Area of roof}$

$=2h(l+b)+l\times b$

$=2\times 2.5(4+3)+4\times 3m^2$

$=5\times 7+12=35+12=47m^2$