Question

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Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.​

Answer 1

Answer:

let breadth be x

length = x + 4

Step-by-step explanation:

ATQ

l + b =36

2x + 4 = 36

2x = 32

x = 16

breadth = 16 m

length = 20 m

Answer 2

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Let width of the rectangular garden be x

So length=4+x

Half of perimeter=36m

So perimeter of garden will be 36×2=72cm

Now we can find the value of x by applying formula of perimeter of rectangular garden.

★Perimeter of rectangle=2(L+B)

$\sf \large \to72cm=2(4+x+x)$

$\sf \large \to\frac{72m}{2} = 4 + 2x$

$\sf \large \to36m=4+2x$

$\sf \large \to36m-4=2x$

$\sf \large \to32m=2x$

$\sf \large \to \frac{32m}{2}=x$

$\sf \large \to 16m=x$

• So breadth of rectangle=x=16m
• Length of rectangle=2x=2×16=32m

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★Area of rectangle=L×B

★Area of square=side²

★Perimeter of Square=4×Side

★Area of circle=πr²

★Perimeter of circle=2πr