Question

A family is building a rectangular fountain in the backyard. The yard is also rectangular and measures 6x by 7x. The fountain is going to measure 2x by 4x. Once the fountain is built, what is the area of the remaining yard?

I'm totally stumped. Can you show me how to do this? My mum hasn't come back from work yet, and my older sister is at the cinema...

Answer 1

34x²

Explanation:

The area of a rectangle is given by the formula

A = L*w*h. This means the area of the backyard is

A = 6x(7x) = 42x²

The fountain will also be rectangular; since its dimensions are 2x by 4x, this makes the area

A = 2x(4x) = 8x²

The remaining area will be given by

A = 42x²-8x² = 34x²

Answer 2

34x²

Explanation:

6x * 7x = 42x²

2x * 4x = 8x²

42x² - 8x² = 34x²