Math Problem Statement

Find the area of the trapezoid with base 1: 4 ft, base 2: 10 ft, and height: 8 ft.

Solution

To find the area of a trapezoid, we use the formula:

Area=12×(Base1+Base2)×Height\text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height}

Here, we have the following values:

  • Base 1 = 4 ft
  • Base 2 = 10 ft
  • Height = 8 ft

Substituting these into the formula:

Area=12×(4+10)×8\text{Area} = \frac{1}{2} \times (4 + 10) \times 8 Area=12×14×8\text{Area} = \frac{1}{2} \times 14 \times 8 Area=7×8=56 ft2\text{Area} = 7 \times 8 = 56 \text{ ft}^2

The correct answer is 56 ft256 \text{ ft}^2.

Would you like more details or have any questions?

Here are 5 related questions for further practice:

  1. How do you calculate the area of a triangle?
  2. If the height was doubled, how would the area change?
  3. How do you find the area of a parallelogram?
  4. What is the area of a trapezoid with bases 5 ft, 12 ft, and a height of 7 ft?
  5. How do you find the perimeter of a trapezoid?

Tip: For trapezoid problems, always add the lengths of both bases before multiplying by the height.

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Math Problem Analysis

Mathematical Concepts

Geometry
Trapezoid Area Calculation

Formulas

Area of a trapezoid = (1/2) * (Base1 + Base2) * Height

Theorems

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Suitable Grade Level

Grades 6-8