A rectangular garden is designed such that the length of the garden is twice its breadth and the area of the garden is 800 m^{2}. Find the length of the garden. (2024)

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Given that,

Rectangular garden

Length of the garden = 2× breadth

Let, the breadth of the garden = x

length of the garden = 2× breadth

Length = 2x

According to the question

Area of rectangle = l×b

200=2x×x

2x2=800

x2=400

x2=(20)2

x=20

Breadth of garden = 20m

length of garden =2× breadth

=2×20

Length =40mtr

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A rectangular garden is designed such that the length of the garden is twice its breadth and the area of the garden is 800 m^{2}. Find the length of the garden. (2024)

FAQs

How do you find the length of a rectangular garden? ›

  1. Length of the garden = 2× breadth.
  2. length of the garden = 2× breadth.
  3. Length = 2x.
  4. Area of rectangle = l×b.
  5. 200=2x×x.
  6. 2x2=800.
  7. x2=400.
  8. x2=(20)2.

How do you find the area of a rectangular garden? ›

  1. Length of rectangle =l=50 m.
  2. Breadth of rectangle =b=?
  3. Area of rectangle = l×b.
  4. 300 sq.cm =50m×b.
  5. 50×b=300.
  6. b=30050.
  7. b=6.

Is the length of a rectangular garden twice? ›

The length of a rectangular garden is twice the width. If the area of the rectangle garden is 288 cm2, what is the length and width of the rectangular garden? Call length L,so width is 2L. Area is length x width=L x 2L=2L^(where ^ stands for squared).

What is the area of a rectangular garden whose length is twice the breadth and perimeter is 60 cm? ›

The perimeter of a rectangle is 60 cm. If its length is twice its breadth, what is its area? The area of the rectangle = 20*10 = 300 cm^2.

What is the formula of rectangular length? ›

The length of a rectangle can be calculated using the following formulas that have been derived from the area and perimeter formulas, Length = Area of rectangle ÷ Width; and Length = (Perimeter ÷ 2) - width.

What is the formula perimeter of a rectangular garden? ›

The perimeter formula for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width. When you are given the dimensions of a rectangular shape, you can simply plug in the values of L and W into the formula in order to solve for the perimeter.

How do you measure a rectangular garden? ›

Finding the square footage of a square or rectangular area of land. Multiply the length by the width to determine the square footage—or area—of a square or rectangle. Find the square footage by multiplying the length and width of the area in question. Make sure to keep your units the same (feet or inches).

What is a formula for the area of a rectangle? ›

The area of a rectangle is the region covered within its boundary and this can be calculated using the formula, area of rectangle = length × width.

How do you calculate rectangular land? ›

Here is how that could be done: Square plot Area = (length x length) So the calculation will be: suppose the length of the plot is 30 feet then the area will Area of a square plot = (30 x 30) Area of a square plot = 900 feet Rectangular plot area = length x breadth Suppose the length of your plot is 30 feet and breadth ...

Is the length of a rectangular field twice its breadth? ›

Perimeter of the field is given as Perimeter = 2(Length + Breadth) and it is 150 cm. Find the length and breadth of the rectangular field. Hence, length = 2 × 25 = 50 m and Breadth = 25 m.

Is it possible to design a rectangular garden whose length is twice its breadth? ›

Hence, yes, it is possible to design a mango grove. The value of x can't be a negative value as it represents the breadth of the rectangle. Thus, it is possible to design a mango grove with length 40 m and breadth 20 m.

Is the length of a rectangle twice it? ›

The length of a rectangle is twice its width.

What is the length of a rectangle is 2 times its width if the perimeter of the rectangle is 36 inches? ›

P=2(L+W). substitution yields P=2(2*W+W). algebra P=4*W+2W P=6W 36=6W W=6. Therefore the length is 12 and the width is 6.

What happens to the area of a rectangle when its width and length are doubled? ›

= [(2)(2)]lw since Multiplication is associative. Therefore, as we can see, if the length and width of a rectangle are doubled, then the area of the rectangle becomes 4 times as large, i.e., it's quadrupled.

Is the perimeter of a rectangle is twice the dash of its length and breadth? ›

Summary: Twice the sum of length x and breadth y of a rectangle is the perimeter of a rectangle. The expression for perimeter is 2x + 2y.

How do I measure the length of my garden? ›

Triangle
  1. Look at your garden and identify the longest side of the triangle. ...
  2. Identify the corner of the triangle that is opposite this side (ie not the ones either end of this line).
  3. Measure a straight line from this corner to the base, making sure that this line meets the base perpendicular - as close to 90°as possible.

How do you find the length of a rectangular field? ›

The length of a rectangular field is twice its breadth.

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