Question

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

⠀⠀ıllıllı uoᴉʇnloS ıllıllı

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Given:

• Half the perimeter of a rectangular garden = 36 m

➠ So, 2(l + b)/2 = 36

➠ (l + b) = 36 ……….(1)

• The length is 4 m more than its width.

Need To Find:

• The dimensions of the garden = ?

Explanation:

Let width = x

And length be x + 4

Substituting this in equation(1),

We get:

x + x + 4 = 36

➠ 2x + 4 = 36

➠ 2x = 32

➠ x = 16

• Therefore, width is 16m and length is 16 + 4 = 20 m.

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Answer 2

Length = (4+36)m

= 40m

Breadth = 36m

Perimeter = 2(l+b)

= 2(40+36)m

= 2×76 m

= 152 m

Dimensions= 1/2×152

= 76 m