Chapter 1: Q73. (page 32)

For the following figure, the formula for the area A of a triangle is $A = \frac{1}{2} b h$ . Where b is the measure of the base and h is the measure of height. Write the area of the triangle when x=23.

Short Answer

Expert verified

The solution is $A = 364$ .

Step by step solution

Step 1- Consider the figure.

Consider the figure.

Step 2- Step description.

Substitute the measure of height and base from the figure into the formula and simplify as follows:

$\begin{array}{l} A = \frac{1}{2} b h \\ A = \frac{1}{2} (x + 3) (x + 5) \\ A = \frac{1}{2} (x^{2} + 8 x + 15) \end{array}$

Step 3- Step description.

Substitute 23 for x in the expression obtained.

$\begin{array}{l} A = \frac{1}{2} (x^{2} + 8 x + 15) \\ A = \frac{1}{2} (23^{2} + 8 (23) + 15) \\ A = 364 \end{array}$

Therefore, the area is 364 square units.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

For the following figure, the formula for the area A of a triangle is $A = \frac{1}{2} b h$ . Where b is the measure of the base and h is the measure of height. Write the area of the triangle when x=23.

Short Answer

Step by step solution

Step 1- Consider the figure.

Step 2- Step description.

Step 3- Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Theoretical and Mathematical Physics

Calculus

Geometry

Mechanics Maths

Study anywhere. Anytime. Across all devices.

For the following figure, the formula for the area A of a triangle isA=12bh . Where b is the measure of the base and h is the measure of height. Write the area of the triangle when x=23.

Short Answer

Step by step solution

Step 1- Consider the figure.

Step 2- Step description.

Step 3- Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Theoretical and Mathematical Physics

Calculus

Geometry

Mechanics Maths

Study anywhere. Anytime. Across all devices.

For the following figure, the formula for the area A of a triangle is $A = \frac{1}{2} b h$ . Where b is the measure of the base and h is the measure of height. Write the area of the triangle when x=23.