Chapter 8.3, Problem 42E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# For square MNPQ, MN = 4. Congruent squares and congruent triangles form octagon ABCDEFGH. Find the area of ABCDEFGH.

To determine

To find:

The area of the octagon.

Explanation

1) The area of the square is given by, A = s2 where s is side of the square.

2) The area of the triangle is given by, A=12Ã—baseÃ—height

Calculation:

It is given that the side of the square MNPQ is 4 units.

Use the formula of area of the square, A = s2

Substitute s = 4 in A = s2.

AMNPQ=(4)2=16â€‰units2

Use the formula of area of the triangle, A=12Ã—baseÃ—height

AAMH=12Ã—HMÃ—

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