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A large rectangle is made by joining three identical small rectangles as sh
x cm
The perimeter of one small rectangle is 21 cm.
The width of one small rectangle is x cm.
Work out the perimeter of the large rectangle.
The final line of your answer should be of the form,
Perimeter of large rectangle is ... cm​

A large rectangle is made by joining three identical small rectangles as shx cmThe perimeter of one small rectangle is 21 cmThe width of one small rectangle is class=

Respuesta :

Answer:

The Perimeter of large rectangle is 35 cm​

Step-by-step explanation:

For the small rectangle we are given the following :

The perimeter of one small rectangle is 21 cm.

The width of one small rectangle is x cm.

The formula for the perimeter of a rectangle = 2(Length + Width)

2(Length + Width) = 21

A rectangle has 2 lengths and 2 width

In the diagram the width is longer than the length hence

Let the length = x

Let the width =2 × x = 2x

2(2x + x) = 21

2(3x) = 21

6x = 21

x = 21/6

We are told that each of the rectangles are similar , hence we have

The perimeter of the large rectangle =

10x

From the calculation above:

x = 21/6

Therefore, the perimeter of the rectangle = 10 ×21/6

The Perimeter of large rectangle is 35 cm​

akposevictor

The perimeter of the larger rectangle is: 35 cm

What is the Perimeter of a Rectangle?

The formula for determining the perimeter of a rectangle = 2(length + width)

Given:

  • Perimeter of one small rectangle = 21 cm
  • width = x
  • length = 2x

Equation that expresses the perimeter of one small rectangle will be:

2(2x + x) = 21

  • Solve for x

4x + 2x = 21

6x = 21

x = 21/6

x = 3.5

Perimeter of the larger rectangle = 2(2x + 3x) = 2(5x)

  • Plug in the value of x

Perimeter = 2(5(3.5))

Perimeter = 35 cm

Therefore, the perimeter of the larger rectangle is: 35 cm.

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