Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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.

Sagot :

Dannymal
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!
Edmund
First, let's get the perimeter of the rectangle:
[tex]P=2W+2L[/tex]
[tex]P=130m+210m[/tex]
[tex]P=340m[/tex]
Then, let's get the area of the bigger one:
[tex]A=WL[/tex]
[tex]A=65m*105m[/tex]
[tex]A=6825m^2[/tex]

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

If you used a square:
[tex]P=170+170[/tex]
[tex]P=340[/tex]
[tex]A=WL[/tex]
[tex]A=85^2[/tex]
[tex]A=7225[/tex]

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.
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.