Answer:
<u><em>Perimeter of rectangle2 </em></u> = k × <u>perimeter of rectangle 1</u>
<u><em>area of rectangle 2 </em></u> = k² × <u>area of rectangle 1</u>
Step-by-step explanation:
• <u><em>rectangle 1</em></u> :
Length x
Width y
perimeter1 = 2×(x + y)
area1 = x × y
……………………
•• <u><em>rectangle 2</em></u> :
Length kx
Width ky
Perimeter2 = 2×(Kx + ky)
area2 = kx × ky
……………………………………………
therefore,
<u><em>Perimeter of rectangle 2 </em></u>
= 2×(Kx + ky)
= 2×k×(x + y)
= k×2×(x + y)
= k × perimeter of rectangle 1
On the other hand,
<u><em>area of rectangle 2 </em></u>
= Kx × ky
= k×k×(x × y)
= k²×(x × y)
= k² × area of rectangle 1