Answer: (1) D (2) C (3) 168 ft²
Step-by-step explanation:
1)
The length of the stamp is 8 - 6 = 2
The width of the stamp is 5 - 3 = 2
A = length x width
A = 2 x 2
= 4
Answer: D
2)
Figure I is a Rectangle and a Triangle
Rectangle: A = length x width
= 3 x 3
= 9
[tex]\text{Triangle}:A=\dfrac{b\times h}{2}\\\\\\.\qquad \qquad \quad = \dfrac{3\times 2}{2}\\\\\\.\qquad \qquad \quad = 3[/tex]
Area of Rectangle + Triangle = 9 + 3 = 12
Figure 2 is a Trapezoid and a Triangle
[tex]\text{Trapezoid}:A=\dfrac{b_1+b_2}{2}\times h\\\\\\.\qquad \qquad \qquad =\dfrac{4+2}{2}\times 4\\\\\\.\qquad \qquad \qquad =3\times 4\\\\\\.\qquad \qquad \quad = 12\\\\\\\text{Triangle}:A=\dfrac{b\times h}{2}\\\\\\.\qquad \qquad \quad =\dfrac{4\times 2}{2}\\\\\\.\qquad \qquad \quad =4[/tex]
Area of Trapezoid + Triangle = 12 + 4 = 16
Figure III is Rectangle and a Triangle
Rectangle: A = length x width
= 3 x 5
= 15
[tex]\text{Triangle}: A=\dfrac{b\times h}{2}\\\\\\.\qquad \qquad \quad =\dfrac{5\times 3}{2}\\\\\\.\qquad \qquad \quad =7.5[/tex]
Area of Rectangle + Triangle = 15 + 7.5 = 22.5
The order from least to greatest is: I, II, III
Answer: C
3)
A = length x width
= 14 x 12
= 168
