What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 3.5? (1 point)
Group of answer choices
Perimeter = 98 cm, area = 588 cm2
Perimeter = 42 cm, area = 109.25 cm2
Perimeter = 42 cm, area = 588 cm2
Perimeter = 98 cm, area = 109.25 cm2
Answers
Answer: I NeEd MoRe PoInTs
Step-by-step explanation:
SoRrY :)
Given:
The dimensions of the rectangle are 6 cm × 8 cm.
To find:
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 3.5?
Solution:
From the given information, we have the data as follows.
The dimensions of the rectangle are 6 cm × 8 cm.
The dimensions of the rectangle are enlarged using a scale factor of 3.5.
The new dimensions of the rectangle are:
= (6 × 3.5) cm × (8 × 3.5) cm.
= (6 × 7/2) cm × (8 × 7/2) cm.
= (3 × 7) cm × (4 × 7) cm.
= 21 cm × 28 cm.
The perimeter and the area of the rectangle are given as follows.
The perimeter: P = 2(l + b)
Substitute the values in the above equation.
P = 2(21 + 28)
P = 2 (49)
P = 98 cm.
The area: A = l × b
Substitute the values in the above equation.
A = 21 × 28
A = 588 cm².
Therefore, the option a Perimeter = 98 cm, area = 588 cm² is correct.