Sunday, August 16, 2009

Problem on Finding Area of Rectangle

Topic : Area of rectangle
The area of a square is denoted by the formula Area = width * height
To calculate the area of a plane figure we use formulas such as area of triangle, square ,rectangles , or circles.

Here is a simple example for you
Question:
The cost of enclosing a rectangle garden with fence all round at rate 75 paisa / meter is Rs 300. If the length of the garden is 120 meters. Find the area of the garden in square meters.

Answer:









We know that,

Cost = Rate x Perimerter (as fencing is done at perimeter)
Let the width of garden be "w"
300 = 0.75 * 2(w + 120)
300 = 1.50 (w + 120)
divide both sides by 1.5
300/1.5 = 1.5/1.5(w+120)
200 = (w+120)
w+120 =200
subtract 120 from both sides
w = 80,

so width = 80 meters

Area of the feild = length *width
= 80 *120
= 9600 m2

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