Math Problem Statement

Dylan plants grass in a rectangular space behind the clubhouse. The area of the space is 70 square feet. If the length of the space is 14 feet,what is the width of the space

Solution

To find the width of the rectangular space, we can use the formula for the area of a rectangle:

Area=Length×Width\text{Area} = \text{Length} \times \text{Width}

Given:

  • Area = 70 square feet
  • Length = 14 feet

Let ww represent the width of the space. Then:

70=14×w70 = 14 \times w

Now, solve for ww:

w=7014=5 feetw = \frac{70}{14} = 5 \text{ feet}

Therefore, the width of the space is 5 feet.

Would you like more details on the steps? Here are some related questions:

  1. How would the width change if the area were doubled?
  2. If the width is doubled, what would be the new area?
  3. How would you find the area if only the perimeter and width were known?
  4. What if the area was 70 square feet, but only the perimeter was given?
  5. Can this method apply to other shapes like triangles or circles?

Tip: When given area and one side length for a rectangle, divide the area by that side to find the other length.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Algebra
Area of a Rectangle

Formulas

Area = Length × Width

Theorems

Rectangle area formula

Suitable Grade Level

Grades 5-6