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VladimirAG [237]
3 years ago
14

Find the perimeter and area of the figure.

Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer:

perimeter of the figure =32 units

area of the figure=56 units²

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Help pleaseeeeeeee.
Dmitry_Shevchenko [17]
Answer: 11x

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Explanation:

Let L be the length of rectangle B
There are two copies of L (along the top and bottom of the rectangle). The vertical pairs of sides are both 7x each.

For the triangle, we have three sides of 12x since this is an equilateral triangle. All three sides are congruent for any equilateral triangle.

The perimeter of the triangle is
P = s1+s2+s3
P = 12x+12x+12x
P = 36x

The perimeter of the rectangle is 
P = 2*L+2*W
P = 2L+2*7x
P = 2L+14x

Since both perimeters are the same, this means 
perimeter of triangle = perimeter of rectangle
36x = 2L+14x
36x-14x = 2L+14x-14x
22x = 2L
2L = 22x
2L/2 = 22x/2
L = 11x

So the length of the rectangle, in terms of x, is 11x. This is the final answer.

Note: if we knew the value of x, then we could find the numeric value of the length for the rectangle. But since we don't know x, we leave it as 11x.

7 0
3 years ago
Simplify the difference quotient f ( x + h ) â f ( x ) h for the function f ( x ) = 6 x â x 2
ladessa [460]

Answer:

final answer is 6

Step-by-step explanation:

Given f(x)=6x-2

To find the difference quotient use formula

\frac{f(x+h)-f(x)}{h}

f(x)=6x-2

f(x+h)=6(x+h)-2=6x+6h-2

Now plug it in the formula

\frac{f(x+h)-f(x)}{h}

\frac{6x+6h-2-(6x-2)}{h}

\frac{6x+6h-2-6x+2)}{h}

\frac{6h}{h}

6

5 0
3 years ago
The formula for finding the perimeter of a rectangle is p= 2l 2w solve the formula for w.
I am Lyosha [343]

Answer:

w = \frac{p -2l}{2}

Step-by-step explanation:

p = 2l + 2w  Subtract 2l from both sides of the equation

p - 2l = 2p  Divide both sides by 2

\frac{p -2l}{2} = w

5 0
2 years ago
Which phrases can be represented by the algebraic expression x + 14? Select three options.
Snezhnost [94]

Answer:

a number plus 14

fourteen more than a number

a number increased by 14

Step-by-step explanation:

The phrases which can be represented by the algebraic expression x + 14 are

Let x = the unknown number

a number plus 14

= x + 14

fourteen more than a number

= x + 14

a number increased by 14

x + 14

4 0
3 years ago
Read 2 more answers
Suppose that Stephen is the quality control supervisor for a food distribution company. A shipment containing many thousands of
solmaris [256]

Answer:

what subject is this in

Step-by-step explanation:

6 0
3 years ago
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