# Enlarged rectangle

The rectangle with dimensions of 8 cm and 12 cm is enlarged in a ratio of 5:4. What are the circumference and the area of the enlarged rectangle?

Result

o =  50 cm
S =  150 cm2

#### Solution:

$a=8 \ \text{cm} \ \\ b=12 \ \text{cm} \ \\ \ \\ o_{ 1 }=2 \cdot \ (a+b)=2 \cdot \ (8+12)=40 \ \text{cm} \ \\ k=\dfrac{ 5 }{ 4 }=1.25 \ \\ \ \\ o=k \cdot \ o_{ 1 }=1.25 \cdot \ 40=50 \ \text{cm}$
$S_{ 1 }=a \cdot \ b=8 \cdot \ 12=96 \ \text{cm}^2 \ \\ \ \\ S=k^2 \cdot \ S_{ 1 }=1.25^2 \cdot \ 96=150 \ \text{cm}^2$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Check out our ratio calculator.

## Next similar math problems:

1. Divide
Divide area of rectangles with dimensions 32m and 10m by the ratio 7: 9. What area corresponds to a smaller section?
2. Rectangle - sides
What is the perimeter of a rectangle with area 266 cm2 if length of the shorter side is 5 cm shorter than the length of the longer side?
3. Surveyor
Calculate the area of ​​what may vary rectangular, if it focused by surveyor and found the dimensions 18 x 15 m while in each of the four joint points can be position deviation 25 cm?
4. Rectangles - sides
One side of the rectangle is 10 cm longer than second. Shortens longer side by 6 cm and extend shorter by 14 cm increases the area of the rectangle by 130 cm2. What are the dimensions of the original rectangle?
5. Rectangle area
The length of a rectangle of x units is increased by 10% and its width of y units is increased by 15%. What is the ratio of the area of the old rectangle to the area if the new rectangle?
6. Rectangle - sides ratio
Calculate area of rectangle whose sides are in ratio 3:13 and perimeter is 673.
7. Percentage and rectangle
About what percentage increases perimeter and area of a rectangle if both the sides 12 cm and 10 cm long we increase by 20%?
8. Hop-garden
The length of the rectangular hop garden Mr. Smith increased by 25% and its width by 30%. What is the percentage change in area of hop garden?
9. Rectangular field
One dimension of the rectangular field is 56 m greater than second dimension. If each side of the rectangle increases by 10 m, increases the surface field is 1480 m2 . Determine dimencions of the field.
10. Rectangle
The rectangle area is 182 dm2, its base is 14 dm. How long is the other side? Calculate its perimeter.
11. Circumference - a simple
What is the ratio of the circumference of any circle and its diameter? Write the result as a real number rounded to 2 decimal places.