A rectangle measuring 7cm by 4cm is enlarged by a ratio of 2:1.what is the area of the enlarged rectangle.
7*2/1 =14 cm
4*2/1= 8cm
.: the area of enlarged rectangle =14*8 =112cm^2
7cm×2
the new area is (7*2)(4*2)
Note that the area grows by the square of the magnification ratio
To find the area of the enlarged rectangle, we first need to determine the new dimensions of the rectangle after it is enlarged by a ratio of 2:1.
The ratio of 2:1 means that the length of the enlarged rectangle will be twice the length of the original rectangle, and the width will be twice the width of the original rectangle.
Original length = 7 cm
Enlarged length = 2 * Original length = 2 * 7 cm = 14 cm
Original width = 4 cm
Enlarged width = 2 * Original width = 2 * 4 cm = 8 cm
Now that we have the dimensions of the enlarged rectangle, we can calculate its area by multiplying the length and width.
Enlarged Area = Enlarged length * Enlarged width
Enlarged Area = 14 cm * 8 cm
Enlarged Area = 112 cm²
Therefore, the area of the enlarged rectangle is 112 square centimeters (cm²).