algebra
posted by sabrina .
a rectangle is 4 times as long as it is wide. a second triangle is 5 centimeters longer and 2 centimeters wider than the first. the area of the second rectangle is 270 square centimeters greather than the first. what are the dimensions of the original rectangle? how would i solve this question?

first triangle : x by 4x
second triangle : 4x+5 by x+2
area of first = x(4x)
area of second = (4x+5)(x+2)
so (4x+5)(x+2)  x(4x) = 270
solve for x, you should get x=20
(check: original is 20 by 80, Area = 1600
second is 22 by 85, Area = 1870)
difference in area = 18701600 = 270
Respond to this Question
Similar Questions

7th grade mathSuppose
Suppose rectangles X and Y are similar. The dimensions of rectangle X are 5 centimeters by 7 centimeters. The area of rectangle Y is 140 square centimeters. What are the dimensions of rectangle Y? 
Geometry
Complete the indirect proof. Given: Rectangle JKLM has an area of 36 square centimeters. Side JK is at least 4 centimeters long. Prove: KL<=9 centimeters 
math
A rectangle is 4 times as long as it is wide. A 2nd rectangle is 5centimeters longer and 2 centimeters wider than the first. what are the dimensions of the original rectangle? 
math
a rectangle is 4 times as long as it is wide. a second rectangle is 5 centimeters longer and 2 centimeters wider than the first. the area of the second rectangle is 530 square centimeters greater than the first. what are the dimensions … 
Algebra 1
A right triangle has a base measuring 5 centimeters & a height of 12 centimeters. By what amount will the area of this triangle increase if both the base length & the height are tripled? 
math
The area of rectangle ACED is 80 square centimeters, and the area of triangle BCE is 30 square centimeters, If AD = 4 centimeters, then what is AB ? 
Width of a square
A rectangle has an area of 45 square centimeters and a length of 10 centimeters. What is the width of the rectangle? 
Math
The length of a rectangle is 5 centimeters less than three times it's width . It's area is 12 square centimeters. Find the dimensions of the rectangle 
Algebra
How do I answer this? Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 centimeters longer than twice the length of the first shelf. The third shelf is 12 centimeters shorter than the first 
math
the length of a rectangle is 23 centimeters less than five times its width. Its area is 42 square centimeters. Find the dimensions of the rectangle