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3 years ago

Carran is building a fence around his rectangular yard. The fence will cover the front and the 2 sides of the yard. The

Mathematics

1 answer:

dolphi86 [110]3 years ago

7 0

9514 1404 393

Answer:

sides: 12 feet
front: 28 feet

Step-by-step explanation:

Let x represent the length of one side of the yard. Then the width of the yard is 2x+4, and the perimeter is ...

P = 2(L +W) . . . . . . . . . . formula for perimeter of a rectangle

80 = 2(x + (2x+4)) . . . . . with values from the problem filled in

40 = 3x +4 . . . . . . . . divide by 2, collect terms

36 = 3x . . . . . . . . . subtract 4

12 = x . . . . . . . . . divide by 3. This is the length of the side fence.

2x +4 = 2(12) +4 = 28

The fence is 12 feet on the sides and 28 feet on the front. (Its total length is 52 feet.)

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3 years ago

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Answer:

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2 years ago

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3 years ago

How many groups of 10 are in 60?

zheka24 [161]

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3 years ago

One factor in flood safety along a levee is the area that will absorb water should the levee break. The coordinates that make up

Anit [1.1K]

Let

$A(0,0)\\ B (2.8, 2.1)\\C(4.3, 4.4)$

using a graph tool

see the attached figure

The figure is a triangle

we know that

The Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

Hero's Formula is equal to

$Area=\sqrt{p*(p-a)*(p-b)*(p-c)}$

where

p is is half the perimeter of the triangle

a,b,c are the lengths of the sides of a triangle

Step $1$

Find the length sides of the triangle

a) Find the distance AB

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(2.1-0)^{2} +(2.8-0)^{2}}$

$d =3.5\ mi}$

b) Find the distance AC

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-0)^{2} +(4.3-0)^{2}}$

$d =6.15\ mi}$

c) Find the distance BC

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-2.1)^{2} +(4.3-2.8)^{2}}$

$d =2.75\ mi}$

Step $2$

Find the perimeter of the triangle

$Perimeter= 3.5+6.15+2.75 =12.4\ mi$

Find the half of the perimeter

$p=\frac{12.4}{2} = 6.2\ mi$

Step $3$

Find the area of the triangle

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$Area=\sqrt{6.2*(2.7)*(0.05)*(3.45)}$

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therefore

the answer is the option

a) 1.65 mi^2.

4 0

3 years ago

Read 2 more answers