The lenght of a rectangle is 3 units more than the width. The area of the rectangle is 40 units. What is the length in units of tje rectangle

Answer 1

Let W = width of the rectangle

W + 3 = Length of the rectangle

40 = area of the rectangle

QUESTION: WHAT IS THE LENGTH OF THE RECTANGLE?

(LENGTH) (WIDTH) = AREA

(W + 3) (W) = 40

W^2 + 3W = 40

W^2 + 3W - 40 = 0

(W + 8) (W - 5) = 0

W + 8 = 0

W = -8 which is impossible here. Length is POSITIVE.

OR

W - 5 = 0

W = 5

SINCE THE WIDTH IS 5, THEN THE LENGTH = W + 3 = 5 + 3 = 8

ANSWER: THE LENGTH IS 8 UNITS.

CHECKING:

DOES THE LENGTH TIMES THE WIDTH EQUAL 40 SQUARE UNITS?

8 x 5 = 40 SQUARE UNITS.

Hope this was helpful Madissen.