360bigsky
Calculators
General
Algebra
Geometry
Coordinate-geometry
Statistics
Calculus
Qna
Math
360bigsky
360bigsky
Home
General
Algebra
Geometry
Coordinate-geometry
Statistics
Calculus
Qna
Math
MATH SOLVE
Home
General
The length of a rectangle is 4 meters less than twice its width. The area of the rectangle is 70m2....
5 months ago
Q:
the length of a rectangle is 4 meters less than twice its width. The area of the rectangle is 70m2. Find the dimensions of the rectangle
Accepted Solution
A:
If the width = x m then the length = 2x - 4 m
Area = x(2x - 4) = 70
2x^2 - 4x - 70 = 0
2x^2 - 14x + 10x - 70 = 0
2x(x - 7) + 10(x - 7) = 0
(2x + 10)(x - 7) = 0
x = 7 or -5 ( ignore negative)
width = 7 m and length = 10 m answer