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Alexeev081 [22]
3 years ago
14

A rectangular yard measures 42 ftx 72 ft is bordered and surrounded by a fence inside a walk that is 4 feet wide goes all the wa

y along the fence find the area of this be sure to include the correct unit in your answer
Mathematics
2 answers:
natulia [17]3 years ago
8 0

Answer:

area  of the rectangular yard = 72 × 42 = 3024 ft²

area bounded by the fence = 34 × 64 = 2176 ft²

area of walk = 848 ft²

Step-by-step explanation:

The rectangular yard has a dimension of 42 ft by 72 ft.

The area of the rectangular yard  = Length × width

L = 72 ft

W = 42 ft  

area  of the rectangular yard = 72 × 42 = 3024 ft²

The rectangular yard is surrounded by a fence and a walkway is also inside the fence . This means reduce 4 ft for all sides of the rectangular yard to get the area of the walkway. This means reduce 8 ft to the length and width of the rectangular yard.

Length of fence = 72 - 8 = 64 ft

width of fence = 42 - 8 = 34 ft

area inside the walkway = 64 × 34 = 2176 ft²

area of walk = 3024 - 2176

area of walk = 848 ft²

steposvetlana [31]3 years ago
3 0

Answer: Area = 4000ft^2

Step-by-step explanation: The area bounded by the fence = (72+4+4)(42+4+4) = 4000ft^2

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What is the quadratic equation that passes through the intercepts (1,0) and (-7,0)?
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Answer:

See  below.

Step-by-step explanation:

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The perimeter of an equilateral triangle is 77 inches more than the perimeter of a​ square, and the side of the triangle is 55 i
miv72 [106K]

Answer:

143 inches

Step-by-step explanation:

Let the triangle be s inches long.


Then the perimeter of the equilateral triangle will be s+s+s=3s inches.


Let the length of the square also be l inches.


Then the perimeter is 4l

It was given that the perimeter of the equilateral triangle is 77 inches more than the perimeter of the square.

So we can write the relation

3s=4l+77


\Rightarrow 3s-4l=77..eqn1


Also, the side of the triangle is 55 inches longer than the side of the square.

So we write s=l+55 or l=s-55...eqn2


We put equation (2) into equation (1) to get;

3s-4(s-55)=77


We expand the bracket to get;


3s-4s+220=77


3s-4s=77-220


-s=-143


s=143

Hence  the triangle is 143 inches long.








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