Please help asap 50 points

A rectangle has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to determine the l

Lorico [155]

❍ Concept :-

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We have been provided with some information regarding a rectangular shaped mat. And on the basis of that information, we will create some assumptions and create and equation and equate it to get our required answer.

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✱ Given Information :-

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A rectangular mat with,

Perimeter = 36 ft.
Length = twice the width

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✱ To Find :-

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The dimensions of the mat
Area of the mat

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✱ Formula Used :-

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$\diamond \: \underline{ \boxed{\begin{array}{cc} \sf1. \: Perimeter_{Rectangle} = 2(l+b) \\ \\ \sf 2. ~Area_{Rectangle} = l\times b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{array}}} \: \star \\$

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✱ Solution :-

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Let the breadth of the mat be x, therefore,

Length = 2x

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Now, according to the question,

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$\sf \hookrightarrow 36 \: = 2(2x + x) \\ \\ \\ \sf \hookrightarrow 6x = 36 \: ft. \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow x = \cancel\frac{36}{6} = 6 \: ft. \: \: \\$

Thus,

Length = 2x = 2 x 6 = 12 ft.
Breadth = x = 6 ft.

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Now, we have to find out the area of the mat, thus,

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$\sf \hookrightarrow Area=6 \times 12 \\ \\ \\\sf \hookrightarrow Area=72 \: sq. ~ft. \\ \\$

Thus, the area of the mat is 72 sq. ft.

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$\underline {\rule{221pt}{2.5pt}} \\ \\$

7 0

3 years ago

2(x+y) = 61-2y 4x-4 = 18-3y

Naddik [55]

Answer:

x = 8

y = -7

Step-by-step explanation:

This is a system of equations called simultaneous equations. We shall solve it by elimination method Step 1We shall label the equations (1) and (2)−3y−4x=−11.....(1)3y−5x=−61......(2)Step 2Multiply each term in equation (1) by 1 to give equation (3)1(-3y-4x=-11).....(1)-3y-4x=-11....(3)Step 3Multiply each term in equation 2 by -1 to give equation (4)-1(3y−5x=−61)......(2)-3y+5x=61.....(4)Step 4-3y-4x=-11....(3)-3y+5x=61.....(4)Subtract each term in equation (3) from each term in equation (4)-3y-(-3y)+5x-(-4x)=61-(-11)-3y+3y+5x+4x=61+110+9x=729x=72Step 5Divide both sides of the equation by 9, the coefficient of the unknown variable x to find the value of x 9x/9 = 72/9x = 8Step 6Put in x = 8 into equation (2)3y−5x=−61......(2)3y-5(8)=-613y-40=-61Collect like terms by adding 40 to both sides of the equation 3y-40+40=-61+403y=-21Divide both sides by 3, the coefficient of y to find the value of y 3y/3=-21/3y=-7Therefore, the values of x and y that satisfy the equations are 8 and -7 respectively

4 0

3 years ago

Please please please help!! 30 points!!

weeeeeb [17]

Answer:

24

Step-by-step explanation:

4*2*3=24

For every egg you have to chose one toest ( 2 options) and for each toest you can chose 3 different type of meat. So for one tost you have 3 typs of meat, for two tost 6 diferent ways. So for each egg you have 6 ways, and you have 4 eggs. It is 4*6=24

4 0

4 years ago

Read 2 more answers

What is the solution to the following system of equations? y = x2 + 10x + 11 y = x2 + x − 7

likoan [24]

Equation 1) y = x² + 10x + 11
Equation 2) y = x² + x - 7

Subtract equations from one another.

9x = 18

Divide both sides by 9.

x = 2

Plug in 2 for x in the first equation.

y = x² + 10x + 11

y = 2² + 10(2) + 11

Simplify.

y = 4 + 20 + 11

y = 35

Plug in 35 for y and 2 for x in the first equation to check your work.

y = x² + 10x + 11

35 = 2² + 10(2) + 11

35 = 4 + 20 + 11

35 = 24 + 11

35 = 35

So, we know that our answer is correct! :))

x = 2, y = 35

3 0

3 years ago

How many obtuse angles are in an obtuse triangle

lord [1]

Answer:

ONE

Step-by-step explanation:

Only one. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

Answer: ONE

6 0

3 years ago