Question

A rectangular image of length 5 cm and width 7 cm is magnified in a studio. On magnification, 1 cm of the image represents 15cm. Find the perimeter of the rectangle in the magnified image.

Answer 1

To find the perimeter of the rectangle in the magnified image, calculate the dimensions of the magnified image using the given ratio and then find the perimeter using the formula 2 * (Length + Width).

Step-by-step explanation:

To find the perimeter of the rectangle in the magnified image, we need to first calculate the dimensions of the magnified image. Since 1 cm of the image represents 15 cm, we can use this ratio to find the magnified length and width.

Magnified length = 5 cm * 15 = 75 cm

Magnified width = 7 cm * 15 = 105 cm

Now that we have the magnified dimensions, we can calculate the perimeter of the rectangle in the magnified image:

Perimeter = 2 * (Length + Width) = 2 * (75 cm + 105 cm) = 2 * 180 cm = 360 cm