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
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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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
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
Step 2 of 3 :
Calculate length and width of the garden
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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