Question

Two fields have the same perimeter. One is a square of side 72m and another is a rectangle
of length 80 m. Which field has the greater area and by how much?
8.​

Answer 1

Answer:

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

Step-by-step explanation:

✔️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

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Answer 2

Answer:

area of square field is greater by 64m²

Step-by-step explanation:

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