Question

Check comments!

Part A

What is the area of triangle i? Show your calculation.

Part B

Triangles i and ii are congruent (of the same size and shape). What is the total area of triangles i and ii? Show your calculation.

Part C

What is the area of rectangle i? Show your calculation.

Part D

What is the area of rectangle ii? Show your calculation.

Answer 1

(the comment answers, since someone already did the other ones)
(these are all plato answers btw..)
Part E

area of rectangle i = 20 cm²
area of rectangles i and iii = 2 × 20 cm²= 40 cm²

Part F

total area of the rectangles = 32 cm² + 20 cm² + 20 cm² = 72 cm²

Part G

To find the surface area of the prism, I need to know the areas of its bases and lateral faces, which are triangles i and ii and rectangles i, ii, and iii.

Part H

surface area of the prism = areas of bases and faces =
areas of two triangles + area of one large rectangle + areas of two smaller rectangles =
6 cm² + 32 cm² + 40 cm² =
78 cm2

Part I

This statement is false. Only two rectangles in the figure have equal areas. The third rectangle is larger than the other two.

Part J

This statement is true. The triangles are the bases of the prism, so they are congruent. Congruent triangles have the same area.

Answer 2

Part A:

1/2 base * height

=1/2*4*1.5

=3cm

Part B:

1/2 b * h squared

=1/2*4*1.5

=3cm * 2

=6cm

Part C:

8cm*2.5cm

=20cm

Part D:

Length*Width

=8m*4cm

=32cm