SOLUTION: Two plot of land have the same perimeter. one is a square of side 64 m and the other is a rectangle of length 70 m. find the breadth of the rectangular plot. which plot has the gre

Algebra ->  Rectangles -> SOLUTION: Two plot of land have the same perimeter. one is a square of side 64 m and the other is a rectangle of length 70 m. find the breadth of the rectangular plot. which plot has the gre      Log On


   

Question 849250: Two plot of land have the same perimeter. one is a square of side 64 m and the other is a rectangle of length 70 m. find the breadth of the rectangular plot. which plot has the greater area and by how much?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
What do you know about the square?
p for perimeter, p=4%2A64
a for area, a=64%5E2.

What do you know about the rectangle?
Length is 70, width w is unknown.
Also 2%2A70%2B2%2Aw=4%2A64 from the given description about perimeters.

w=2%2A64-70
w=2%2864-35%29
highlight%28w=29%29, width of the rectangular plot.

AREA of rectangular plot: 70*29._______2030 square meters
Area of square plot: 64*64._______4096 square meters