Question

Please help I don’t understand this

Answer 1

136

Explanation:

First you multiply 7•5 which is 35, and sense there is 2 squares with that unit, you multiply 35•2 which is 70. After that you get the middle value by multiplying 6•7, which is 42. Then you add 42+70, and that's 112. Now you have to find the area of the triangle, so you multiply 6•4, and that's 24, but sense there are 2 of them with the same unit you don't need to divide by 2. Then after that you add 112+24 and the total area is 136

Answer 2

136 square units

Explanation:

A "net" is a map of the surfaces of the prism. If you cut it out and fold along the solid lines, you can shape it into the triangular prism it represents. The area of the net is the area of the prism.

As with any composite figure, its area can be found by decomposing it into parts whose area formulas you know. Here, the net can be cut along the horizontal lines to form a rectangle and two triangles.

__

rectangle

The rectangle has an overall length of 5+6+5 = 16 units, and a width of 7 units. Its area is ...

A = LW

A = (16)(7) = 112 . . . . square units

triangles

Each triangle has a base of 6 units and a height of 4 units. Its area is ...

A = 1/2bh

A = 1/2(6)(4) = 12 . . . . square units

total area

The composite figure shown has been decomposed into one rectangle and two triangles, so its total area is ...

rectangle area + 2 × triangle area

= 112 + 2×12 = 136 . . . . square units

The surface area of the triangular prism is 136 square units.