Question

find the lateral area of the triangular prism. 5 m 5 m 7 m 3 m square meters

Explanation:

Step1: Identify lateral - face shapes

The lateral faces of a triangular prism are rectangles. There are 3 lateral - faces.

Step2: Calculate area of each lateral - face

The dimensions of the three lateral - faces are:

1. One face with dimensions 5 m (height) and 3 m (width), its area $A_1=5\times3 = 15$ square meters.
2. One face with dimensions 5 m (height) and 5 m (width), its area $A_2=5\times5 = 25$ square meters.
3. One face with dimensions 5 m (height) and 7 m (width), its area $A_3=5\times7 = 35$ square meters.

Step3: Calculate total lateral area

The total lateral area $A = A_1+A_2+A_3$.
$A=15 + 25+35=75$ square meters.

Answer:

75