33.2k views
2 votes
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.

User Bobbi
by
6.9k points

2 Answers

2 votes
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!
User Kuppuram
by
6.9k points
3 votes
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.
User Spina
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7.0k points