Each side of a picute is enlarged by 125%. If the original area was 88 square inches, what is the area of the enlarged picture?
new area= 88*1.25*1.25=
A truck rental company charges $20 plus
9 cents per mile.Joe's friend offers to rent Joe his truck for $35 and won't charge him mileage. What is the minimum
number of miles Joe has to drive to save
money using his friend's truck? 17?,
55?, 121? or 167?
A rectangle was enlarged by a scale factor of 5 2 and the new width is 40 cm. What was the original width?
To find the area of the enlarged picture, we need to follow these steps:
Step 1: Find the length of each side of the original picture.
Let's assume the length of each side of the original picture is represented by 'x'.
Step 2: Calculate the area of the original picture.
Since the area of a rectangle is calculated by multiplying its length and width, the area of the original picture is x * x = x^2.
Step 3: Calculate the enlargement factor.
To find the enlargement factor, we observe that each side is enlarged by 125%, which means it is increased by 1.25 times. Therefore, the enlargement factor is 1.25.
Step 4: Calculate the length of each side of the enlarged picture.
To find the length of each side of the enlarged picture, we multiply the original length (x) by the enlargement factor (1.25).
So, the length of each side of the enlarged picture is 1.25x.
Step 5: Calculate the area of the enlarged picture.
Since the area of a rectangle is calculated by multiplying its length and width, the area of the enlarged picture is (1.25x) * (1.25x) = 1.5625x^2.
Step 6: Calculate the area of the enlarged picture.
Now we can substitute the given original area (88 square inches) into the equation to find the value of x.
x^2 = 88.
Taking the square root of both sides, we get:
x = √(88).
Evaluating the square root of 88, we find:
x ≈ 9.38 (rounded to two decimal places).
Step 7: Substitute the value of x back into the equation for the area of the enlarged picture.
The area of the enlarged picture is calculated as:
1.5625 x (9.38)^2.
Evaluating the expression, we find:
Area of the enlarged picture ≈ 162.04 square inches (rounded to two decimal places).
Therefore, the area of the enlarged picture is approximately 162.04 square inches.