A rectangle has an area of 6 square meters. What will be the area of the rectangle if each side length is increased by a factor 5?
A. 11 square meters
B. 30 square meters
C. 125 square meters
D. 150 square meters
I think the answer is B
if each side is multiplied by 5, the area is multiplied by 5*5 = 25
So, D
I think its B
the answer is D
To find the area of the rectangle after each side length is increased by a factor of 5, we first need to determine the original dimensions of the rectangle.
Since the area of the rectangle is given as 6 square meters, we can express the area using the formula for the area of a rectangle: Area = Length * Width. Let's call the length L and the width W.
Therefore, we have L * W = 6.
To find the area when each side length is increased by a factor of 5, we multiply both the length and width by 5. So we have (5L) * (5W) = 25LW.
Substituting the value of LW from the original equation, we have 25 * 6 = 150 square meters.
Therefore, the correct answer is D. 150 square meters.