Math Problem Statement

Find the area of a rectangle measuring 5.8 yd by 21.41 yd. Round to the nearest hundredth. 

Solution

To find the area of a rectangle, you use the formula:

A=length×widthA = \text{length} \times \text{width}

Given the dimensions:

  • Length l=21.41l = 21.41 yards
  • Width w=5.8w = 5.8 yards

We can calculate the area AA as follows:

A=21.41×5.8A = 21.41 \times 5.8

Let's perform the multiplication:

21.41×5.8=124.17821.41 \times 5.8 = 124.178

Rounded to the nearest hundredth, the area is:

124.18 square yards124.18 \text{ square yards}

So, the area of the rectangle is 124.18124.18 square yards.

Would you like more details or have any questions?

Here are some related questions for further exploration:

  1. What is the perimeter of this rectangle?
  2. How do you convert square yards to square feet?
  3. How would the area change if the length and width were both doubled?
  4. How do you calculate the diagonal of a rectangle given its length and width?
  5. What is the area of a rectangle with sides in the ratio 2:3 and a perimeter of 60 yards?
  6. How do you find the area of a rectangle when given the perimeter and one side?
  7. How do you solve for the length if the area and width are given?
  8. What are some real-life applications of calculating the area of a rectangle?

Tip: When rounding numbers, ensure you follow the proper rounding rules: if the digit beyond your rounding place is 5 or greater, round up; otherwise, round down.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of Rectangle
Measurement

Formulas

Area of Rectangle: A = length \( l \) \( \times \) width \( w \)

Theorems

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Suitable Grade Level

Grades 6-8