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Chapter 2: Q. 2.64 (page 135)

A triangular tent door has area 15 square feet. The height is five feet. What is the length of the base?

Short Answer

Expert verified

6 feet is the length of the base of a triangular tent door.

Step by step solution

01

Step 1. Given Information

  • A triangular tent door has area 15 square feet.
  • The height is five feet.

We want to know base of a triangular tent door.

02

Step 2. Name. 

Choose a variable to represent it.

Let b = the base of triangular tent door.

Draw the figure and label it with the given information.

Area = 15 sq. in.

03

Step 3. Translate.

Write the appropriate formula.

A=12脳b脳h

Substitute in the given information.

role="math" localid="1646065601637" 15=12脳b脳5

04

Step 4. Solve the equation. 15=52×b

Multiply both sides by25

25脳15=25脳52脳b6=b
05

Step 5. Check. 

A=12脳b脳hA=12脳6脳5A=15

Verified

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