Question

A mat shaped in a parallelogram has a height of 4 cm and a base of 3 cm. How much would it cost to cover a parallelogram shaped hall with an area of 180 sq. cm with mats, if 1 mat costs Rs.7?

• A. Rs. 105
• B. Rs. 115
• C. Rs. 135
• D. Rs. 95

Answer 1

The correct option is A

Rs. 105

Let "n" be the number of mats.

Base of the mat = 3 cm
Height of the mat = 4 cm

Area of the parallelogram (mat) = base $\times$ height

Area of the mat(which is a parallelogram) = The area of a parallelogram is the product of one side with the distance to the opposite side.

= 3 x 4 cm.

Area of hall = Area of mat $\times$ number of mats

$\Rightarrow$ 180 = 3 x 4 x n

$\Rightarrow n=\frac{180}{12}=15$

Given that 1 mat costs = Rs. 7

Then, 15 mats cost = 7 x 15 = Rs.105