Algebra
posted by Sharon .
A rectangular counter top is 16 inches longer than it is wide. If the area of the counter top is 420 square inches, find the length and the width.

Algebra 
Reiny
width  x
length  x+16
solve
x(x+16) = 420
(it factors quite nicely) 
Algebra 
Henry
Width = W inches
Length = W + 16 inches.
W(W + 16) = 420
W^2 + 16W  420 = 0
Use Quadratic Formula:
w = (16+ /  sqrt(256 + 1680))/2 =
(16 + 44)/2 = 14 and 30. use W = 14
= Width.
W +16 = 14 + 16 = 30 in. = Length.
Respond to this Question
Similar Questions

Calculus
A retangular poster is to be made out of cardboard. The margins on the top and the bottom will be 2 inches. The margins on the sides will be 1 inch. The area of the poster devoted to the printed material must be 300 square inches. … 
Geomertry
The surface area of a rectangular prism is 190 square inches, the length is 10 inches, and the width 3 inches. Find the height. 
Math
The area of a rectangular photograph is 59 square inches.It is to be mounted on a rectangular card with a boarder of 1 inch at each side and 2 inches at the top and bottom.Express the total area of the photograph and the boarder,A, … 
Algebra
A rectangular picture is 4 inches longer than it is wide. The picture is surrounded by a 3 inch wide frame. The area of the picture and frame is 144 square inches more than the area of the picture. What is the width of the picture? 
Algebra Homework, HELP!
1) A rectangle has an area of 297 square inches and a width which is three inches less than four times the length. Find the length and the width of the rectangle. 2) Let x represent the length of the shorter leg in a right triangle. … 
Math
Walter is making an opentop box. The length is 6 inches greater than the width, and the height is 2 inches. The area of the rectangular sheet of material that will be folded to make the box is 280 square inches. What is the length … 
math
Janice plans to build a rectangular table top with an area of 60+20r square inches. The width of the table top is 10 inches. What is the length of the table top? 
perimeter and area
the top of the trusty twisty toaster has an area of 48 inches. if the top is 8 inches wide, how long is the side? 
Algebra
Walter is making an opentop box. The length is 6 inches greater than the width, and the height is 2 inches. The area of the rectangular sheet of material that will be folded to make the box is 320 square inches. What is the width … 
precal
a page that x inches wide & y inches high contains 26 square inches of print. the margins on the top & bottom are 1.5 inches deep and the margins in the sides are 1 inches wide. a. sketch the situation above b. find the total area …