Math Problem Statement

Substitute to find a value of the expression. 1 The area A of a triangle with base b and height h is given by A = 1AT2 bh. Find the area when b = 30 m (meters) and h = 16 m.

Solution

To find the area AA of the triangle using the given formula A=12bhA = \frac{1}{2} bh, you can substitute the values for the base bb and height hh into the formula.

Given:

  • b=30b = 30 meters
  • h=16h = 16 meters

Now substitute these values into the formula:

A=12×30×16A = \frac{1}{2} \times 30 \times 16

Calculate the multiplication first:

A=12×480=240square metersA = \frac{1}{2} \times 480 = 240 \, \text{square meters}

So, the area of the triangle is 240m2240 \, \text{m}^2 (square meters).

Would you like to explore this further or have any questions?

Here are 5 related questions:

  1. How would the area change if the height was doubled?
  2. What is the area if the base was 50 meters and the height remained the same?
  3. How do you derive the formula for the area of a triangle?
  4. If the base and height are both halved, what would be the new area?
  5. Can you find the height if the area and base are given?

Tip: Remember that the area of a triangle is always half of the product of its base and height, regardless of the triangle's orientation.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Triangle

Formulas

A = 1/2 bh

Theorems

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Suitable Grade Level

Grades 6-8