The length of a rectangle is 4 inches longer than it is wide. If the area is 140 square inches, what are the dimensions of the rectangle?

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.

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step-by-step explanation: