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fgiga [73]
2 years ago
14

WILL.MARK BRAINLEST. ( The length of a rectangular garden is 5m longer than its breadth .If its perimeter is 150 m,find the area

of the garden ) step by step​
Mathematics
2 answers:
Leya [2.2K]2 years ago
8 0

Answer:

1400m^2

Step-by-step explanation:

Let the breadth of the garden be a, therefore the length of the garden is (a+5).

The perimeter of the garden is the sum of all its sides, therefore:

Perimeter = a + a + (a+5) + (a+5) = 150

Simplifying the LHS of the equation:

4a +10 = 150

Subtracting 10 from both sides of the equation:

4a = 140

Dividing both sides by 4:

a = 35 = breadth

Therefore the length of the garden = (a + 5) = 40

Recall that the area of the garden is its length multiplied by its breadth, therefore:

Area = 35*40 = 1400

alisha [4.7K]2 years ago
4 0

Answer:

<em>area=1400</em>

Step-by-step explanation:

<em>length(l)</em>=x+5

<em>breadth(b)</em>=x

<em>Perimeter</em>=2(l+b)

      150    =2(x+5+x)

         150 =2x+10+2x

    150-10=4x

       140=4x

         x=35          

therefore breadth=35

                 length=40

<em>area</em>=l*b

      =35*40

     =1400

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