Math Problem Statement

Question

Show Examples What is the area, in square centimeters, of the shape below? Express your answer as a fraction in simplest form. 3/5 cm 1/6 cm

Solution

The problem seems to be asking for the area of a shape, but no specific shape is described or shown here. Since two measurements are given: 35cm\frac{3}{5} \, \text{cm} and 16cm\frac{1}{6} \, \text{cm}, I will assume that these represent the dimensions (length and width) of a rectangle.

To find the area of a rectangle, we multiply the length and width.

Step-by-step Solution:

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

Here, the length is 35cm\frac{3}{5} \, \text{cm} and the width is 16cm\frac{1}{6} \, \text{cm}.

Area=35×16=3×15×6=330=110square centimeters.\text{Area} = \frac{3}{5} \times \frac{1}{6} = \frac{3 \times 1}{5 \times 6} = \frac{3}{30} = \frac{1}{10} \, \text{square centimeters}.

So, the area of the rectangle is:

110square centimeters.\boxed{\frac{1}{10}} \, \text{square centimeters}.

Would you like more details or have any questions?

Here are 5 questions based on this explanation:

  1. What is the formula for the area of a rectangle?
  2. How do you multiply fractions?
  3. What are the units of area in this problem?
  4. How do you simplify the fraction 330\frac{3}{30}?
  5. Can this method be applied to other shapes like triangles or circles?

Tip: Always simplify fractions by dividing both the numerator and denominator by their greatest common divisor.

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Math Problem Analysis

Mathematical Concepts

Geometry
Fractions
Area of a Rectangle

Formulas

Area of a rectangle = Length × Width

Theorems

Multiplication of fractions
Simplification of fractions

Suitable Grade Level

Grades 5-7