Find the surface area of the prism.

256 ft^2

Step-by-step explanation:

1. Find the base's area. 6 ft x 13 ft = 78 ft ^2

2. Find the area of one of the sides (if you know what I mean). 13 ft x 5 ft = 65 ft ^2

3. Find the area of the front (it's the triangle). 6 ft x 4 ft = 24 ft ^2 (no need to times by 1/2)

4. Before we add them all together, there are two of the sames sides that have an area of 65 ft (^2), so you add them twice. Same goes to the triangles (because there is one triangle in the front and one on the back).

5. Add.

     65 ft ^2 + 65 ft ^2 + 78 ft ^2 + 24 ft ^2 + 24 ft ^2 = 256 ft^2

B

Step-by-step explanation:

Base area = (length x height)/2 = (6 x 4)/2 = 12 ft^2

Base perimeter = (side 1 + side 2 + side 3) = 6 + 5 + 5 = 16 ft

LA = base perimeter x 13 = 16 x 13 = 208 ft^2

SA = (base area x 2) + LA = 24 + 208 = 232 ft^2

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step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.