Henrique drew and labeled the net shown. He also labeled the areas of the left and right triangular sides.

A net has a rectangle at the center and 4 triangles on the sides. The rectangle has a length of 10 inches and height of 4 inches. 2 triangles have a base of 10 inches and a height of 5 inches. The other 2 triangles have an area of 13.6 inches squared.

Use Henrique’s work and finish finding the areas of the faces.

What is the surface area of the rectangular pyramid?

in.2

Step-by-step explanation:

You need to remember the following:

1. The area of a rectangle can be calculated with the following formula:

Where "l" is the length and "w" is the width.

2. The area of a triangle can be calculated with the following formula:

Where "b" is the base and "h" is the height.

Use those formulas to find the area of each face.

Area of the rectangle

Area of two triangles

There are two equal triangles. Each one has a base  of 10 inches and a height of 5 inches. Then, their areas are equal:

The areas of the other two triangles (which are equal) are:

Adding the areas of the faces, you get that the surface area of the rectangular pyramid is:

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.