Maths
posted by JAZZY .
A rectangle has legth & width in the ratio of 3:2.If the length is increased by 8 & width is increased by 50%.The ratio of new perimeter to origial perimeter is 8:5.Find the area of new rectangle.

Your period after 50% should be a comma.
Let the old length and width be a and b, and the new values A and B
a = (3/2)b
A = B + 8
B = 1.5 b
A+B = (8/5)(a+b)
You need to solve four equations in four unknowns. Once you get A and B, the area is A*B
a + b = (5/2)b
A + B = 2B +8
A + B = (8/5)(a+b)
2B +8 = (8/5)(a+b) = 4 b
B = 2b 4 = (3/2)b
0.5b = 4
b = 8
a = (3/2)b = 12
A = B +8 = 20
B = A 8 = 12
A*B = 240 is the new area
Respond to this Question
Similar Questions

basic geometric
10. a rectangle has width the same as a side of a square whose perimeter is 20m. the length of the rectangle is 9m. find the perimeter of this rectangle. 34. The width of a rectangular picture is onehalf the length. The perimeter … 
basic geometry
A rectangle has width the same asa a side of a square whose perimeter is 20m.the length of the rectangle is 9m. Find the perimeter of this rectangle. 34. The with of a rectangular picture is onhalf the length . The perimeter of the … 
algebra1
The length of a rectangle is twice the width. If the length is increased by 4 inches and the width is decreased by 1 inch, a new rectangle is formed whose perimeter is 198 inches. Find the dimensions of the original rectangle. 
maths
the length of a rectangle is 3 less than 5 times its width. Write a simpified algebriac expression for the perimeter of a rectangle. If the rectangle width is tripled and its length is doubled,the perimeter of new rectangle is 92cm … 
maths
A rectangle has length & width in the ratio of 3:2.If the length is increased by 8 & width is increased by 50%.The ratio of new perimeter to original perimeter is 8:5.Find the area of new rectangle 
Math
Determine the perimeter and area of a rectangle that has a width of 6 inches and a length of 8 inches. Using a ratio of 1:2, draw a similar rectangle that is double the width and length of the first shape. Determine the perimeter and … 
algerbra
the length of a rectangle is one foot more than twice its width. If all sides were increased by 7feet the perimeter of the new triangle would be 122 ft. find the new dimensions of the new rectangle 
Algebra
The width of a rectangle is three fourths of the length. The perimeter of the rectangle becomes 50 cm when the legth and the width are each increased by two cm. Find the length and the width 
math
The length of a rectangle is twice the width. If the length is increased by 6, and the width is doubled, a new rectangle is formed whose perimeter is 20 more than the perimeter of the original rectangle. Find the dimensions of the … 
algebra
The length of a rectangle is twice the width. If the length is increased by 4 inches and the width is diminished by 1 inch, a new rectangle is formed whose perimeter is 198 inches. Fine the dimensions of the original rectangle.