The area of a rectangular field is 264 sq m. If length is 22 cm,what is the breath?
Answers
Answer:
Breadth = 20 meter
We know that the area of a rectangle is the product of length and breadth. Thus,
Area A of the rectangular plot = Length x Beadth …………………………………….(1)
Given, length is 15% more than the breadth.
That is, Length = Breadth + (15/100) breadth
= Breadth + .15 x Breadth = (1.15)Breadth
∴ A = 1.15 x Breadth x Breadth = 1.15 x (Breadth)² ………………………………….…(2)
Given, A = 460 square meters
Substituting in (2),
460 = 1.15 (Breadth)²
Or, 460/1.15 = 1.(Breadth)² [Dividing both sides by 1.15]
Or, (Breadth)² = 460/1.5 = 400 = 20² square meter
Taking square root,
Breadth = ±20 meter
Since length is always a positive quantity, we discard the negative value to get
Breadth = 20 meter
Answer:
area of rectangle = 264 sq. m.
l =22
area of rectangle = l × b
264 = 22 × b