MATH SOLVE

5 months ago

Q:
# How will the perimeter of the rectangle change if each side is increased by a factor of 10? The perimeter will be 1/10 the original. The perimeter will be 1/100 the original. The perimeter will be 10 times the original. The perimeter will be 100 times the original.

Accepted Solution

A:

Answer:The perimeter will be 10 times the original.Step-by-step explanation:Formula for Perimeter of rectangle is 2l + 2 w. From the diagram shown, the perimeter is 2Γ6 +2Γ3 = 12+6 =18cmIf if each side is increased by a factor of 10Our length becomes 6Γ10= 60cmOur width becomes 3Γ10= 30cmNew perimeter becomes 2Γ60 + 2Γ30= 120+60 = 180cmNew perimeter(180 cm)= 10Γ original perimeter (18cm)So The perimeter will be 10 times the original.