Area Equals Length Times Width
Introduction to area equals length times width:
Area equals length times width is the way of defining rectangle.
A rectangle is a quadrilateral, in which every angle is right angle .
In rectangle opposite sides are parallel and equal in length .
Rectangle is the only polygon with this special property of area equal to length times the width .
The statement area equal to length times the width makes us easiest way to find the area of the rectangle .
Properties of a rectangle:
1)Opposite sides are parallel and congruent.
2) the diagonals bisect each other
3) the diagonals are congruent
Other properties of rectangle:
1) A square is a special case of a rectangle where all 4 sides are of same length.
2) Rectangle is also a special case of parallelogram, but all the angles are fixed at 900 .
Area Equals Length Times Width:
AREA OF RECTANGLE
Area of a rectangle can be defined as " area equals the length times the width "
i,e AREA = LENGTH * WIDTH
PERIMETER OF A RECTANGLE
Perimeter of a rectangle can be defined as two times length and width
Perimeter = 2length + 2 width = 2 ( length + width )
Problems on the Area Equal Length Times Width:
Pro 1 : Given that in the rectangle , length of a side is 9cm and the width is 4cm . Find the area of the rectangle .
Sol : given , length = 9cm
width = 4cm
we know that , Area = length * width
thus according to the formula , area = 9*4
= 36 square cm
Pro 2 :Find the length of the side of the rectangle whose area is 50sq.cm abd whose width is 50cm ?
Sol : Given , width = 10cm
area = 50sq.cm
we know that , area = length * width
by inter-changing the above formula as shown below we can find the length when area and width is given ,
length = area/ width
so , length = 50/10
= 5cm
Understand
help with college math is always challenging for me but thanks to all math websites to help me out.
Pro 3:Find the area of the rectangle given that length is 5cm and the width is 6cm ?
Sol : given , length =5cm
width = 6cm
area of rectangle = length * width
= 5 * 6
= 30 sq.cm
Practice Problems on area :
Pro 1: Find out the area of a rectangle whose length is 23.4 and width is 20cm.
Ans: Area of rectangle = 468 cm2
Pro 2: Find out the area of a rectangle whose base is 35and height is 8cm.
Ans: Area of rectangle = 280 cm2
Pro 3: Find out the area of a rectangle whose length is 45 and width is 14cm.
Ans: Area of rectangle = 630 cm2
by: johnharmer
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