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Question:

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

Answer:

**Solution: ****Let the length of a rectangular garden is x meters and width of a rectangular garden is y meters.**

**According to given conditions, the perimeter is 36 m.**

**⇒** **[2(x + y)] = 36**

**⇒ ****x + y = 36 ……(i)**

**And x = y + 4 ****⇒** **x ****– y = 4 ……..(ii)**

**Adding eq. (i) and (ii),**

**2x = 40**

**⇒**** x = 20 m**

**Subtracting Eq. (ii) from eq. (i),**

**2y = 32**

**⇒**** y = 16 m**

**Hence, length = 20 m and width = 16 m. **

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