The perimeter of a rectangle is 99 ft, and the length is twice the width. what are its dimensions?

Answers

Answer 1

The dimension of the length and width of the rectangle with the given perimeter are 33ft and 16.5ft respectively.

What are the dimensions of the rectangle?

Perimeter of rectangle is expressed as;

P = 2( l + w )

Given that;

Perimeter P = 99ftLet width w = xLength l = 2x

We substitute into the formular above.

P = 2( l + w )

99ft = 2( x + 2x )

99ft = 2x + 4x

99ft = 6x

x = 99ft/6

x = 16.5ft

Width = x = 16.5ft

Length = 2x = 2( 16.5ft ) = 33ft

Therefore, the dimension of the length and width of the rectangle with the given perimeter are 33ft and 16.5ft respectively.

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​Triangles ABC​ and DFG are similar.

Which proportion can be used to find the value of DG¯¯¯¯¯¯?


a 15/7=5/DG

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Answer:

C

Step-by-step explanation:

Since every side of ΔABC is dilated by 3, or triple the size

We multiply every length of ΔABC by 3

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Value of [tex]\boldsymbol{DG}[/tex] in a triangle [tex]DFG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches. To understand the calculations, check below.

Define similar triangles.

Two triangles are said to be similar if their sides are proportional and their angles are equal.

Triangles [tex]ABC,DFG[/tex] are similar

[tex]\frac{AB}{DF}=\frac{BC}{FG}=\frac{AC}{DG}[/tex]

[tex]\frac{5}{15}=\frac{7}{DG}[/tex]

[tex]DG=21[/tex] inches

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The length of a rectangle is three meters more than its width the perimeter of the rectangle is 74 meters what are the dimensions of the rectangle

Answers

Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Givens

Let the width = w

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Substitute w + 3 for L

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Answers

Answer:

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