Question

A rectangular room is 1.5 times as long as it is wide, and its perimeter is 35 meters. find the dimesions of the room

Answer 1

The width of the room is 7 meters and the length is 10.5 meters.

Step-by-step explanation:

To find the dimensions of the rectangular room, let's assume the width of the room is x meters. According to the given information, the length of the room is 1.5 times the width, so the length would be 1.5x meters.

The perimeter of a rectangle is calculated by adding twice the length to twice the width. So, we have the equation:

2x + 2(1.5x) = 35

Simplifying the equation, we get:

2x + 3x = 35

Combining like terms, we have:

5x = 35

Dividing both sides of the equation by 5, we find that x = 7.

Therefore, the width of the room is 7 meters and the length is 1.5 times the width, which is 1.5 * 7 = 10.5 meters.

Answer 2

l=1.5w. And the perimeter of a rectangle is 2w+2l=25 substitute the 1st equation into the second.2w+2(1.5w)=252w+3w=255w=25W=5