Math, asked by wwwabiefrencezaina13, 4 months ago

mang gorio has 150 meters of fencing material to enclose a rectangular garden .The gardens lenght is 5 meters than 3 times its width. fid the area of garden​

Answers

Answered by Anonymous
20

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first of all let us know what is area & perimeter,

area

In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units such as square centimteres, square feet, square inches, etc.

perimeter

Perimeter is the total length of the sides of a two-dimensional shape. We often find the perimeter when putting up Christmas lights around the house or fencing the backyard garden.

perimeter and area examples

For example, your house has a fenced yard. The perimeter is the length of the fence. If the yard is 50 ft × 50 ft your fence is 200 ft long. The area is a measure of the space contained within an object.

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Answered by pulakmath007
0

The area of the garden = 1100 metre²

Correct question : Mang Gorio has 150 meters of fencing material to enclose a rectangular garden. The garden's length is 5 meters less than 3 times its width. Find the area of the garden

Given :

  • Mang Gorio has 150 meters of fencing material to enclose a rectangular garden.

  • The garden's length is 5 meters less than 3 times its width

To find :

The area of the garden

Solution :

Step 1 of 3 :

Form the equation to calculate length and width of the garden

Here it is given that the garden's length is 5 meters less than 3 times its width

Let width of the garden = x metre

∴ Length of the garden = (3x - 5) metre

Perimeter of the garden

\displaystyle \sf   = 2 \times \bigg[(3x - 5) + x\bigg] \:  \:  metre

Since Mang Gorio has 150 meters of fencing material to enclose a rectangular garden.

∴ Perimeter of the garden = 150 meters

So by the given condition

\displaystyle \sf  2 \times \bigg[(3x - 5) + x\bigg] = 150

Step 2 of 3 :

Calculate length and width of the garden

\displaystyle \sf  2 \times \bigg[(3x - 5) + x\bigg] = 150

\displaystyle \sf{ \implies }2 \times (4x - 5)  = 150

\displaystyle \sf{ \implies } (4x - 5)  =75

\displaystyle \sf{ \implies }4x = 80

\displaystyle \sf{ \implies }x = 20

Width of the garden = x metre = 20 metre

Length of the garden

= (3x - 5) metre

= (3 × 20 - 5) metre

= 55 metre

Step 3 of 3 :

Calculate area of the garden

The area of the garden

= Length of the garden × Width of the garden

= (55 × 20) metre²

= 1100 metre²

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