Answer :

Answer:

101.9 sq ft

Step-by-step explanation:

The figure is missing: find it in attachment.

Here we want to find the lateral surface area of the figure, which is the sum of the areas of all faces.

We have in total 5 faces:

- 1 of them is rectangle with sizes (8.5 ft x 3.3 ft), so its area is

[tex]A_1=8.5 \cdot 3.3 =28.1 ft^2[/tex]

- 1 of them is a rectangle with sizes (3.3 ft x 5.1 ft), so its area is

[tex]A_2 = 3.3\cdot 5.1 =16.8 ft^2[/tex]

- 1 of them is a rectangle with sizes (6.8 ft x 3.3 ft), so its area is

[tex]A_3 = 6.8\cdot 3.3 =22.4 ft^2[/tex]

- Finally, we have 2 triangular faces (top and bottom), so their area is

[tex]A_T=\frac{1}{2}bh[/tex]

where

b = 5.1 ft is the base

h = 6.8 ft is the height (because the triangle is a right triangle)

So the area of the triangle is

[tex]A_T=\frac{1}{2}(5.1)(6.8)=17.3 ft^2[/tex]

So the total lateral surface area of the figure is:

[tex]A=A_1+A_2+A_3+2A_T=28.1+16.8+22.4+2(17.3)=101.9 ft^2[/tex]

Thanks for taking the time to read Find the lateral surface area of the figure to the nearest tenth A 67 3 sq ft B 99 9 sq ft C 103 sq. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada