The perimeter of rectangle is 120 cm. If the length is 45 cm. find its breadth and area.
Answers
Answer:
L00K BEL0W
Step-by-step explanation:
Let the sides of our rectangle be “a” and “b”.
The perimeter of a triangle = sum of the lengths of its side = 2a + 2b.
Area of a rectangle = length * breadth = ab.
Perimeter = 2a + 2b = 44.
a + b = 22.
Area = ab = 120.
(a - b)^2 = (a + b)^2 - 4ab
calculate the value of a - b,
we can figure out the value of “a” and “b”.
(a - b)^2 = (22)^2 - 4*120
= 484 - 480
= 4.
Which implies that,
a - b = 2
And we had found out before that,
a + b = 22, through our perimeter.
If we solve these two equations, we get,
a = 12, b = 10
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.
Step-by-step explanation:
The perimeter of a rectangular sheet =120 cm
length =45 cm
Therefore,
(45+breadth)=60
breadth=15 cm
A = 45 * 15 = 675
- Perimeter of a Rectangle- Rectangles are four-sided polygons. Following are the properties of a rectangle:
- (i) All the angles of a rectangle are 90º.
- (ii) Opposite sides of a rectangle are always the same in size.
- 2 × (sum of adjacent sides)