Question

Two fields have the same perimeter. One is a square of side 72m and another is a rectangle of length of the 80m. Which field has the greater area and by how much?

Answer 1

here it is
hope it will help

Answer 2

${Answer :-}$

__________

Here, perimeter of the square field
= 4 * 72 m
= 288 m.
_ _ _ _ _ _

Now, the square field and the rectangular field, both have the same perimeter.
So, perimeter of rectangular field = 288.

Let, the breadth of the rectangular field be ' b' in metres.
So, by condition, we have,
2 ( 80 + b) = 288
=> 160 + 2b = 288
=> 2b = 288 - 160 = 128
=> b = 128/2 = 64.

So, breadth = 64m
_ _ _ _ _ _

Now, area of the square field
= side * side
= 72 * 72 sq.m
= 5184 sq.m
_ _ _ _ _ _

Area of the rectangular field
= length * breadth
= 80 * 64 sq.m
= 5120 sq.m
_ _ _ _ _ _

Hence, the square field has a greater area by (5184 - 5120) = 64 sq.m

_________

Checked twice ✔️
It's reliable ✅

_________

Hope this helps,.

If helps, please mark it as brainliest ^_^

Regards, Arnab ✌️