Please help me with this.A rectangular field is 65
meters wide and
105
meters long.
Give the length and width of another rectangular field that has the same perimeter but a smaller area.

Answers

Answer 1

Answer: First, let's get the perimeter of the rectangle:
$P=2W+2L$
$P=130m+210m$
$P=340m$
Then, let's get the area of the bigger one:
$A=WL$
$A=65m*105m$
$A=6825m^2$

Then let's try using a rectangle with a smaller ratio:
$P=100m+240m$
$P=340m$
Then:
$A=50m*120m$
$A=6000m^2$

If you used a square:
$P=170+170$
$P=340$
$A=WL$
$A=85^2$
$A=7225$

There you have it. A rectangle with a smaller area with the same perimeter.
What does it show? The smaller the difference you get from width and length, the larger the area is.

Answer 2

Answer: Well the L and the W could be 75 and 95
Because 75 + 75 + 95 + 95= 340
And 75 x 95= 7125
Same Perimeter, different Area
Glad to Help!

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