Filipo is building a rectangular sandbox . The length of the sandbox is 1 foot longer than twice the width of the sandbox .the perimeter of the sandbox is 29 feet

Which equation could be used to determine w ,the width, in feet of the sand box?

A.) w + w + 2 = 29

B.) w + 2w + 1 = 29

C.) 2w + 2(w + 2) = 29

D.) 2w + 2(2w+ 1) = 29

Part B what is the length in feet of the sandbox

Question

01-04-2020
Mathematics

contestada

Filipo is building a rectangular sandbox . The length of the sandbox is 1 foot longer than twice the width of the sandbox .the perimeter of the sandbox is 29 feet

Which equation could be used to determine w ,the width, in feet of the sand box?

A.) w + w + 2 = 29

B.) w + 2w + 1 = 29

C.) 2w + 2(w + 2) = 29

D.) 2w + 2(2w+ 1) = 29

Part B what is the length in feet of the sandbox

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jitumahi76 jitumahi76 · Answer 1 · 2020-04-02T12:19:22+02:00

Answer:

Part A : D.) [tex]2w + 2(2w+ 1) = 29[/tex]

Part B : Length of the sandbox is 10 feet.

Step-by-step explanation:

Given,

Perimeter = 29 ft

We need to find the equation for the perimeter and also the length of the sandbox.

Solution,

Let the width of the sandbox be 'w'.

Now as per question said;

The length of the sandbox is 1 foot longer than twice the width of the sandbox.

So we can say that;

Length = [tex]2w+1[/tex]

Now we know that the perimeter is equal to the sum of twice of length and width.

framing in equation form, we get;

Perimeter = [tex]2(2w+1)+2w[/tex]

we have given the perimeter, so on substituting the value, we get;

[tex]29=2(2w+1)+2w[/tex]

Hence The equation used to find the width is [tex]29=2(2w+1)+2w[/tex].

Now we solve for 'w'.

Applying distributive property, we get;

[tex]4w+2+2w=29\\\\6w+2=29[/tex]

Subtracting both side by '2' we get

[tex]6w+2-2=29-2\\\\6w=27[/tex]

Dividing both side by 6 we get;

[tex]\frac{6w}{6}=\frac{27}{6}\\\\w=4.5\ ft[/tex]

Width of the sandbox = 4.5 ft

Length of the sandbox = [tex]2w+1=2\times4.5 +1 = 9+1=10\ ft[/tex]

Hence Length of the sandbox is 10 feet.

Naiz2212 Naiz2212 · Answer 2 · 2020-12-12T02:26:24+01:00

Naiz2212 Naiz2212

12-12-2020

Answer:

Part A : D

Part B : Length of the sandbox is 10 feet amd the width is 4.5 feet.

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