Answer:
W=10
L=14
Step-by-step explanation:
Area of the rectangle is L x W=140
We know that L=4+W, so we have to substitute this value to obtain one equation
with just one unknown value;
(4+W) x W=140, solving the equation and making it equal to zero we obtain,
W2 + 4W – 140 = 0, using the quadratic formula to solve we get two values for W
One positive and one negative;
W1=10 and W2=-14. Because we are dealing with distances, the value of
cannot be a negative number. Therefore, the value of W is 10. With this, we
can go back to substitute the value of W to find L,
L = 4 + W,
L = 4+ 10 = 14, so the answer is W=10 and L=14
_________________
Hope this is helpful.
