The length of a rectangle is seven inches more than its width. its area is 78 square inches. find the width and length of the rectangle.

i'm getting 16 and 23 but my online homework says its wrong

Width = 6 inches

Length =  13 inches

Step-by-step explanation:

The length of a rectangle is seven inches more than its width. Its area is 78 square inches.

Let w be the width of the rectangle

length is w+7

Area of the rectangle is length time width

Subtract 78 from both sides

now factor it and solve for w

product is -78 and sum is +7

Set each factor =0 and solve for x

width cannot be negative , so the value of w is 6

Width = 6 inches

Length = width +7=13 inches

no i do not : ( what is it?