Math Problem Statement

Round each measurement to the nearest ten. Then estimate the area of the rectangle with dimensions 42 inches by 86 inches.

Solution

Let's solve the problem step by step:

  1. Round each measurement to the nearest ten:

    • Length: 4242 inches rounds to 4040 inches.
    • Width: 8686 inches rounds to 9090 inches.
  2. Estimate the area of the rectangle:

    • The area AA of a rectangle is calculated by multiplying the length and width. A=length×width=40×90=3600square inches.A = \text{length} \times \text{width} = 40 \times 90 = 3600 \, \text{square inches}.

Therefore, the estimated area is 3,600 square inches, which matches the second option.

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

  1. What would the exact area be without rounding the measurements?
  2. How does rounding affect the precision of your answer?
  3. What is the perimeter of the original rectangle?
  4. If you changed the units to feet, what would the dimensions and area be?
  5. What is the formula for finding the area of other shapes, such as triangles or circles?

Tip: When estimating, rounding to the nearest ten or hundred can simplify complex calculations while maintaining reasonable accuracy.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Rounding
Area of a Rectangle
Estimation

Formulas

Area of a Rectangle: A = length × width

Theorems

-

Suitable Grade Level

Grades 4-6