SOLUTION: A rectangle and a square have the same area. The width of the rectangle is 6 cm less than the side of the square, and the length of the rectangle is 5 cm more than twice the side o

Question 927254: A rectangle and a square have the same area. The width of the rectangle is 6 cm less than the side of the square, and the length of the rectangle is 5 cm more than twice the side of the square. What are the dimensions of the rectangle?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Area of rectangle(Lw) and Area of square (s^2) are the same:
s^2 = (2s+5)(s-6)
s^2 = 2s^2 - 7s - 30
s^2 - 7s - 30 = 0 (tossing out negative solution for unit measure)
(s+3)(s -10)= 0
s = 10cm
dimension of Rectangle: 25cm by 4cm
And...checking
10^2 = 25*4
RELATED QUESTIONS
A rectangle and a square have the same area. The width of the rectangle is 48 cm less... (answered by Boreal,lwsshak3)

A square and a rectangle have the same perimeter. The length of the rectangle is 4 cm... (answered by josmiceli)

A rectangle and a square have the same area. If the length of the side of the square is 7 (answered by josgarithmetic)

Application problem - integers A square and rectangle have the same area. The length... (answered by josgarithmetic)

A square and rectangle have the same area. The length of the rectangle is five inches... (answered by Boreal)

A square and a rectangle have the same area. The length of the rectangle is nine inches... (answered by ikleyn)

The side of a square has length s. The length of a rectangle is 6 cm greater than the... (answered by mananth)

A square and a rectangle have the same area. The length of the rectangle is eight inches... (answered by ikleyn)

A square and a rectangle have the same area. The length of the rectangle is three inches... (answered by ikleyn,Solver92311)