A lot is 50 m by 40 m. A house 29 m by 9 m is built on the lot. How much area is left over?

Question:

A lot is 50 m by 40 m. A house 29 m by 9 m is built on the lot.

How much area is left over?

Area of a Rectangle:

Area is the amount of space that is covered by a given geometric figure or an object. For a rectangular figure, we calculate the area by multiplying the length of the figure by its width.

Answer and Explanation:


Let the area of the lot be {eq}A {/eq} square meters and the area occupied by the house be {eq}B {/eq} square meters.

Given that the lot measures 50m by 40m, the area of the lot is equal to:

  • {eq}A = 50\times 40 = 200\, m^2 {/eq}

The house measures 29m by 9m. Thus, the house occupies an area equal to:

  • {eq}B = 29\times 9 = 261\, m^2 {/eq}

The area that is left over when the house is built is equal to:

  • {eq}A - B {/eq} square meters.
  • {eq}2,000 - 261 = \boxed{1,739\, m^2} {/eq}

Learn more about this topic:

Loading...
Measuring the Area of a Rectangle: Formula & Examples

from Geometry: High School

Chapter 8 / Lesson 7
58K

Related to this Question

Explore our homework questions and answers library