Mathematics, 15.07.2019 14:30 raam360

What is the surface area of this wedge?

Answers: 2

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Answers

Answer from: tinalmath

84ft

Answer from: kflvcko5466

The correct option is 1.

Step-by-step explanation:

The wedge contain 3 different rectangles and 2 congruent triangles.

Area of a triangle is

$A=\frac{1}{2}\times base\times height$

From the given figure it is clear that base of the both triangles is 4 ft and height is 3 ft.

Area of a triangle is

$A_1=\frac{1}{2}\times 4\times 3=6$

Area of a rectangle is

$A=length\times width$

Length and width of the first rectangle are 6 ft and 3 ft respectively. So, the area first rectangle is

$A_2=6\times 3=18$

Length and width of the second rectangle are 6 ft and 4 ft respectively. So, the area second rectangle is

$A_3=6\times 4=24$

Length and width of the third rectangle are 6 ft and 5ft respectively. So, the area third rectangle is

$A_4=6\times 5=30$

The total area of this wedge is

A=2(A_1)+A_2+A_3+A_4

A=2(6)+18+24+30

A=84

The area of wedge is 84 square ft.

Therefore, option 1 is correct.

Answer from: Quest

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step-by-step explanation:

Answer from: Quest

step-by-step explanation:

it is pretty much backwards.

you take the 4x2 multiply that, and that is = $8

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