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4 years ago

Help me please !!!!!!

Mathematics

1 answer:

Svetllana [295]4 years ago

7 0

Answer:

256 ft^2
50 ft^2
25 ft^2
281 ft^2

Step-by-step explanation:

Prism Area

The total surface area of a rectangular prism is given by ...

SA = 2(LW +H(L +W))

For L = 12 ft, W = 5 ft, H = 4 ft, the surface area is ...

SA = 2((12 ft)(5 ft) +(4 ft)(12 ft +5 ft)) = 2(60 ft^2 +(4 ft)(17 ft))

= 2(60 ft^2 +68 ft^2) = 256 ft^2 . . . blank 1

Pyramid Lateral Area

The lateral area of the pyramid is 4 times the area of one triangular face:

LA = 4(1/2)bh = 2(5 ft)(5 ft) = 50 ft^2 . . . blank 2

Pyramid Base Area

The area of the square base of the pyramid is the square of the length of one edge:

B = (5 ft)^2 = 25 ft^2 . . . blank 3

Total Exposed Area

The exposed area of the prism is its area less that of the base of the pyramid. The total exposed area is the sum of prism exposed area and lateral area of the pyramid.

total exposed area = (exposed prism area) + (pyramid lateral area)

= (prism area) - (pyramid base area) + (pyramid lateral area)

= 256 ft^2 - 25 ft^2 + 50 ft^2

total exposed area = 281 ft^2 . . . blank 4

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A triangle has perimeter 38 cm.

IrinaVladis [17]

Answer:

62cm

Step-by-step explanation:

You were told the perimeter of the triangle is 38

but two sides are added to make a Pentagon. and that Pentagon is made up of a triangle and a square.

so if we find the side of the square, we can equally get the other two sides of the triangle.

hint: (because it's a square, we would be getting an isosceles triangle, meaning two sides are equal)

because one side of the pentagon added to the other two sides of the triangles gives us the perimeter of the triangle.

we first find the sides of the square with all sides equal by diving by 2

$\frac{48}{2} = 12$

the sides of the square making the perimeter of the square 12cm.

now we subtract 12 from the perimeter of the triangle 38

$38 - 12 = 26$

now that we have gotten one side we can get the other two by dividing the result by 2

$\frac{26}{2} = 13$

so the other two sides of the triangle are 13cm.

now since we have the sides of the square and the triangle, we can find the perimeter of the pentagon by adding.

all the sides of the triangle without the base which is also the top of the square.

so instead of adding 4 times of 12, we add 3 times of 12 and 2 times of 13.

3(12)+2(13) = 62

12 + 12 + 12 + 13 + 13 = 62cm

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