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Anastaziya [24]
3 years ago
13

A sailboat's Saul has three sides that are all the same length. Each side measures x - 10 units. The sail's perimeter is 63 unit

s. What is the value of x?
Mathematics
1 answer:
ruslelena [56]3 years ago
6 0

Answer:

The value of 'x' is 31 unit

Step-by-step explanation:

Given:

Measure of each side = x-10\ units

Perimeter of sails  = 63 units.

We need to find the value of x.

Solution:

Now we can see that from given data.

A sailboat's Saul has three sides.

Now assuming it to be triangle we get;

"Perimeter of triangle is equal to sum of all side."

So we can say that;

x-10+x-10+x-10 =63\\\\3x-30=63

Now adding both side by 30 we get;

3x-30+30=63+30\\\\3x=93

Now dividing both side by 3 we get;

\frac{3x}{3}=\frac{93}{3}\\\\x=31 \ units

Hence the value of 'x' is 31 units.

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Question 3: 582 ft²

Question 4: 348 in²

Step-by-step Explanation:

Question 3:

Consider the solid shape given as being consisting of two rectangular prism. With careful examination, you'd observe that the offer one beneath has dimensions, l, w, h, as 15, 4, 9

The second one has l, w, h, as 6, 4, 6

Surface area of the bigger rectangular prism = total surface area - area of the surface that is joined to the smaller rectangular prism.

Area of the face joined to the smaller rectangular prism = 4*6 = 24 ft²

Surface area of the bigger rectangular prism = 2(wl + hl + hw)  - 24

2(4*15 + 9*15 + 9*4)  - 24

462  - 24

Surface area of the bigger rectangular prism = 438 ft²

Surface area of the smaller rectangular prism = total surface area of rectangular prism - area of the surface that is joined to the bigger rectangular prism.

= 2(wl + hl + hw)  - 24

= 2(4*6 + 6*6 + 6*4)  - 24

= 168 - 24 = 144 ft^2

<em><u>Surface area of the solid = 438 + 144 = 582 ft²</u></em>

Question 4:

Surface area of the triangular prism is given as: 2(B.A) + P*L

Where,

B.A = area of 1 triangular base = ½*height of the triangle*base of the traingle

B.A = ½*6*16 = 3*16 = 48 in²

P = perimeter of 1 triangular base = sum of all sides of the triangle.

P = 16+10+10 = 36 in

L = length or height of prism =

Plug in the values to find surface area of the prism

Surface area = 2(B.A) + P*L

= 2(48) + 36*7 = 96 + 252 = 348 in²

<em><u>Surface area of prism = 348 in²</u></em>

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