The length of a wooden frame is 1 foot longer than its width and its area is equal to 12ft²
The frame is a rectangle. The area of a rectangle is A = lw. So were given:
(w + 1) * w = 12
Multiply through and simplify:
w^2 + w = 12
We have a quadratic equation. To solve for w, we type this equation into our search engine and we get two solutions:
w = 3
w = -4
Since width cannot be negative, we choose the positive result and have:
w = 3
To solve for length, we plug w = 3 into equation (1) above and get:
l = 3 + 1
l = 4
The frame is a rectangle. The area of a rectangle is A = lw. So were given:
- l = w + 1
- lw = 12
(w + 1) * w = 12
Multiply through and simplify:
w^2 + w = 12
We have a quadratic equation. To solve for w, we type this equation into our search engine and we get two solutions:
w = 3
w = -4
Since width cannot be negative, we choose the positive result and have:
w = 3
To solve for length, we plug w = 3 into equation (1) above and get:
l = 3 + 1
l = 4