Math Problem Statement

Find out the length of the following rectangle whose area =170 m² breath = 10 m

Solution

To find the length of the rectangle, we can use the formula for the area of a rectangle:

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

Given:

  • Area = 170 m²
  • Breadth = 10 m

Now, we can solve for the length:

Length=AreaBreadth=17010=17 m\text{Length} = \frac{\text{Area}}{\text{Breadth}} = \frac{170}{10} = 17 \text{ m}

So, the length of the rectangle is 17 meters.

Would you like more details or have any questions about the solution?

Here are 5 related questions you might find interesting:

  1. How can we find the perimeter of a rectangle if we know the length and breadth?
  2. What are the units we use when calculating the area of a rectangle?
  3. How would the area change if the breadth were doubled?
  4. How do you calculate the diagonal of a rectangle given the length and breadth?
  5. Can we calculate the area of a rectangle with only one side (length or breadth) and the perimeter?

Tip: Always check the units to make sure they are consistent before solving any problem!

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Rectangle

Formulas

Area = Length × Breadth
Length = Area / Breadth

Theorems

Area of a Rectangle

Suitable Grade Level

Grades 6-8