Question

1) Find the perimeter of the composite figure below. . , .2) Choose of the shapes and find the area. . , .3) Choose of the objects and find the volume. . , .

Answer 1

Answer

1) 38 cm

2) 35 ft²

3) 2048 ft³

Step-by-step explanation

1) First, we need to find the length of the missing sides, as follows:

The perimeter, P, of the figure is obtained by adding the lengths of all its sides, as follows:

$\begin{gathered} P=10+9+4+7+6+2 \\ P=38\text{ cm} \end{gathered}$

2) Choosing the triangle, its area is calculated as follows:

$A=\frac{b\times h}{2}$

where b is the base and h is the height of the triangle.

Substituting b = 14 ft and h = 5 ft, we get:

$\begin{gathered} A=\frac{14\times5}{2} \\ A=35\text{ ft}^2 \end{gathered}$

3) Choosing the rectangular pyramid, its volume is calculated as follows:

$V=\frac{lwh}{3}$

where l is the base length, w is the base width, and h is the pyramid height

Substituting l = 32 ft, w = 12 ft, and h = 16 ft, we get:

$\begin{gathered} V=\frac{32\times12\times16}{3} \\ V=2048\text{ ft}^3 \end{gathered}$