The four folded parts of an envelope are opened up to create this figure. What is the surface area of one side of the unfolded e

Question

3 years ago

14

nvelope?
A. 25 square centimeters
B. 37 square centimeters
C. 50 square centimeters
D. 64 square centimeters

2 answers:

Artemon [7] · Answer 1 · 2022-03-03T21:06:37+03:00

Answer:

C

Step-by-step explanation:

The total area comprises of the rectangle (area is base * height) and the 4 triangles (area = 1/2 * base * height).

Area of rectangle = 6 * 4 = 24

Area of top triangle = 1/2 * 6 * 3 = 9

Area of bottom triangle = 1/2 * 6 * 3 = 9

Area of rightside triangle = 1/2 * 4 * 2 = 4

Area of leftside triangle = 1/2 * 4 * 2 = 4

Let's add them up and find the correct answer:

Area = 24 + 9 + 9 + 4 + 4 = 50

vichka [17] · Answer 2 · 2022-03-03T19:52:27+03:00

vichka [17]3 years ago

4 0

Answer:

Option C. 50 square centimeters

Step-by-step explanation:

we know that

The surface area is equal to the area of four triangles plus the area of rectangle

so

$SA=2[\frac{1}{2}(4)(2)]+2[\frac{1}{2}(6)(3)]+(6)(4)$

$SA=8+18+24$

$SA=50\ cm^{2}$