The length of a rectangle is 10 centimeters less than its width. What are the dimensions of the rectangle if its area is 119 square centimeters?
Find the length and width of the rectangle.
thanks (*^ ^*)
Area=L x W
L=W - 10
119=[W x (W-10) ], solve for W
W=17cm
L=7cm
Area=17 x 7=119 square cm.
+37146 L x W = area of rectangle L = W-10 (given)
(w-10) x w = 119
w^2 - 10w = 119
w^2 - 10w +25 = 119 +25 (completing the square)
(w-5)^2 = 144
w-5 = +-12
w = 5 +-12 = 17 or -7 (throw out -7)
w=17 L = w-10 = 7
