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Chapter 1: Q73. (page 32)

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

Expert verified

The solution is A=364.

Step by step solution

01

Step 1- Consider the figure.

Consider the figure.

02

Step 2- Step description.

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

A=12bhA=12(x+3)(x+5)A=12(x2+8x+15)

03

Step 3- Step description.

Substitute 23 for x in the expression obtained.

A=12(x2+8x+15)A=12(232+8(23)+15)A=364

Therefore, the area is 364 square units.

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