What will be the perimeter and the area of the rectangle if it is enlarged using a scale factor of 6.5? (5 points)

Question

it displayes a rectange with a length of 8cm and a width of 6 cm

Answer 1

Original Rectangle:
Length = 8 cm
Width = 6 cm

Perimeter of the original rectangle = 2(Length + Width)
= 2(8 + 6)
= 2(14)
= 28 cm

Area of the original rectangle = Length x Width
= 8 cm x 6 cm
= 48 square cm

Enlarged Rectangle with a scale factor of 6.5:
Length = 8 cm x 6.5 = 52 cm
Width = 6 cm x 6.5 = 39 cm

Perimeter of the enlarged rectangle = 2(Length + Width)
= 2(52 + 39)
= 2(91)
= 182 cm

Area of the enlarged rectangle = Length x Width
= 52 cm x 39 cm
= 2028 square cm

Therefore, the perimeter of the enlarged rectangle is 182 cm and the area is 2028 square cm.