Question

1. Which has greater perimeter a square ground of side 85 m or a rectangular ground with sides 10 m and 75 m and by how much.​

Answer 1

$\underline{ \underline{\bf Question}}$

Which has greater perimeter a square ground of side 85 m or a rectangular ground with sides 10 m and 75 m and by how much ?

$\large \tt To \: Find \dots$

First of all we will find the perimeter of a square ground then we'll find the perimeter of rectangular ground afterthat we'll compare both perimeters and will subtract the lesser value from the greater value .

$\huge \tt Solution$

Perimeter of square ground with side 85 m

We know,

$\boxed{ \pink{\tt Perimeter \: of \: square = 4 \times side}}$

Perimeter of square = 4 × 85

= 340 m² ______(1)

Now , calculate the Perimeter of rectangular ground with sides 10 m and 75 m

$\sf Perimeter \: of \: rectangular = 2(10 + 75) \\ \rm = 2 \times 85 = \bf170 \: m ^{2} \longrightarrow(2)$

On comparing (1) & (2) we get to know that

$\rm \: Perimeter \: of \: square > Perimeter \: of \: rectangular \\ \bf340 > 170$

Therefore, Perimeter of square is greater.

Now , To obtain by how much it's greater simply

$: \implies \rm(340 - 170)m ^{2} = 170 \: m ^{2}$

Conclusion

Perimeter of Square is greater than that of rectangle by 170 m²

Thankyou

Answer 2

Answer:

Perimeter of Square is greater than that of rectangle by 170 m²