Question

A rectangular room is given on rent at a total cost of 16500.at 50 per square feet. The length of the room is 7ft more than its breadth. How much does the breadth of the room measure

Answer 1

The breadth of the room is 15 feet.

Step-by-step explanation:

A rectangular room is given on rent at a total cost of 16500.at 50 per square feet.

So, the area (A) of the room is given by $\frac{16500}{50} = 330$ sq. feet.

Now, if the width of the room is w feet then the length of the room is given to be (w + 7) feet.

So, w(w + 7) = 330

⇒ w² + 7w - 330 = 0

⇒ w² + 22w - 15w - 330 = 0

⇒ (w + 22)(w - 15) = 0

Therefore, w = 15 feet {Since, w can not be negative}

Hence, the breadth of the room is 15 feet. (Answer)