Question

A square of side k cm has a perimeter p cm and area r cm2. Express r in terms of p.

Answer 1

Answer:

side = k

given area = r cm²

area = side × side

area = k × k

= k² cm²

r = k²....(1)

given perimeter = p

forma for perimeter of square = 4×side

= 4k

p = 4k

k = p/4....(2)

by putting value in equation 1

r = (p/4)²

r = p²/16 (answer)

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hope it helps¡¡

Answer 2

Answer:

r=$\frac{p^{2} }{16}$

Step-by-step explanation:

area=(side)²=>k²=r----------(1)

perimeter=4×(side)=4×(k)=4k=p=>p/4=k=>k=p/4---------(2)

putting eq.(2) in (1)

(p/4)²=r

r=$\frac{p^{2} }{16}$