Please help. Thanks

Question

The area of her room is 150 ft^2. The length of her bedroom is 5 ft. less than twice the width. Find the length and width of her bedroom

Answer 1

We know that Area = length * width, and the Area = 150 square feet

let w = width of bedroom and l = length of bedroom

We are told that the length of the bedroom is 5 feet less less than twice the width.

What we need to do is to write this mathematically. Do you see that twice the width is 2w, and that 5 feet less is minus 5? If so, then you can write the length as 2w -5. And the Area = length * width equation becomes 150 = w * (2w - 5)

distribute the w and subtract 150 from each side to get a quadratic equation in standard form.

2s^2 -5s -150 = 0 You can now use the quadratic equation to solve.

Answer 2

Area = Length x Width

1. Area = 150 ft²
2. Width = x
3. Length = 5 feet less than twice the width = 2x - 5

Area = Length x Width

150 = (2x-5)·x

150 = 2x² - 5x

0 = 2x² - 5x - 150

Solve for x by factoring or using the Quadratic Formula. You'll get two values for x, one positive and one negative. Since you can't have a negative width (x is the width), the positive answer is the correct one. Once you have x (width), the length is 2x - 5.

Answer 3

Hi,

So the width is the simplest unknown so we will make it 2 X. The length of the room is 2X-5. Add up the terms. That gives 4X-5. They equal the square 150. Set up the equation. You could guess and check with widths and lengths in a table to see what factors of 150 square feet could meet the values. Hope this helps.