A rectangular board has a length of 15cm and width x cm. If its sides are doubled, find its new area.
Answer Details
Let's first find the area of the original rectangular board, which is simply the product of its length and width:
original area = 15 cm x x cm = 15x cm\(^2\)
When the sides are doubled, the length becomes 15 cm x 2 = 30 cm, and the width becomes x cm x 2 = 2x cm. So, the new area is:
new area = 30 cm x 2x cm = 60x cm\(^2\)
So, the new area of the rectangular board is 60x cm\(^2\).