Answer:

Perimeter of a square = 4 × side

⇒ 4 × side = 320

⇒ side = 320/4

⇒ side = 80m

Area of a square = side2

Hence, Area of the square park = 802 = 80 × 80 = 6400m2

Step-by-step explanation:

hope it helps you

plz mark me brainliest

drop some thanks ✌️

gm

Verified answer

Answer:

Given :-

• perimeter => 320m

To find :-

• area of square park

Using formula :-

• area of square=(side)²
• perimeter of square=4×side

Solution :-

According to question first we find side then area

Let the side be x

[tex] \longrightarrow \: \mathcal{\pink{perimeter = 4 \times x}}[/tex]

[tex] \longrightarrow \: \mathcal{\purple{320 \: m = 4x}}[/tex]

[tex] \longrightarrow \: \mathcal{\red{ x = \frac{320 \: m}{4} }}[/tex]

[tex] \longrightarrow \: \mathcal{\green{x = 80 \:m}}[/tex]

Hence side is 80m

Area of a square park = side²

[tex]\longrightarrow \: \mathcal{\blue{ {80 \: m}^{2} }}[/tex]

[tex]\longrightarrow \: \mathcal{\red{ {6400 \: m}^{2} }}[/tex]

Hence , area of a square park is 6400m²

[tex] \underline{ \rule{200pt}{3pt}}[/tex]