Question

I need help with geometry

Answer 1

Explanation:

The area of a triangle is equal to half the product of the base by the height drawn to that base

Hence,

1)

`\displaystyle\\S_\triangle=(1)/(2)(4)(1.5)\\\\S_\triangle=2(1.5)\\\\S_\triangle=3 \ square\ inches`

2)

`\displaystyle\\S_\triangle=(1)/(2)(16)(9.4)\\\\S_\triangle=8(9.4)\\\\S_\triangle=75,2 \ square\ km`

3)

The area of a trapezoid is equal to the product of the half sum of the trapezoid bases by the height

Hence,

1 ft=12 in

`\displaystyle\\S_(trapezoid)=(a+b)/(2)h \\\\S_(trapezoid)=(16.8+33.6)/(2)(12)\\\\ S_(trapezoid)=(50.4)/(2) (12)\\\\S_(trapezoid)=25.2(12)\\\\S_(trapezoid)=302,4 \ square \ inches`

4)

`\displaystyle\\S_(trapezoid)=(7.9+2.3)/(2)(4.6)\\\\S_(trapezoid)=(10.2)/(2)(4.6)\\\\ S_(trapezoid)=5.1(4.6)\\\\ S_(trapezoid)=23.46\ square\ meters`

5)

The area of a rectangle is equal to the length times the width of its sides

Hence,

`S=ab\\\\S=6(5.1)\\\\S=30.6\ square\ meters`

6)

`S=6(4)-2(4-3)\\\\S=24-2(1)\\\\S=24-2\\\\S=22 \ square\ cm`