Question

Can someone please help me with this question.

sorry for the quality but you have to find the surface area of this figure. pllleeeaasssee help​

Answer 1

S.A. = 36 cm²

Explanation:

First step:

Calculate the hypotenuse of a right triangle.

Use the Pythagorean theorem:

`h^2=3^2+4^2\\\\h^2=9+16\\\\h^2=25\to h=√(25)\\\\h=5\ cm`

Second step:

We have

two right triangles with legs a = 3cm and b = 4 cm

one rectangle 4cm × 2cm

one rectangle 3cm × 2cm

one rectangle 5cm × 2cm

Calculate each area:

The formula of an area of a right triangle:

`A=(ab)/(2)`

Substitute:

`A_1=((3)(4))/(2)=(3)(2)=6\ cm^2`

The formula of an area of a rectangle l × w:

`A=lw`

Substitute:

`A_2=(4)(2)=8\ cm^2\\\\A_3=(3)(2)=6\ cm^2\\\\A_4=(5)(2)=10\ cm^2`

Third step:

Calculate the Surface Area of the figure:

`S.A.=2A_1+A_2+A_3+A_4`

Substitute:

`S.A.=2(6)+8+6+10=36\ cm^2`