Answer:
length =12 cm and breadth= 10 cm
Step-by-step explanation:
we know that perimeter of a rectangle is 2*(l+b) and area of a rectangle is l*b.
2*(l+b)= 44 cm and l*b=120 sq.cm
2l+2b= 44cm l*b=120sq.cm
lets take out all the factors of 120 as this may help in finding l and b.
1,2,3,4,5,6,8,10, 12,15,20,24,30,40,60,120.
here, the most likely answer that verifies that l and b can be found is using the perimeter.
so, out of all these factors, 10 and 12 gives the right answer to 2*l+b
2* 10+12=2*22=44 cm and it also satisfies l*b as 10*12 is 120...
Answer:
Step-by-step explanation:
Perimeter of rectangle = 44 cm
2*(length +width) = 44
l = length
w = width
2*( l +w) =44
Divide both sides by two
l +w = 44/2
l +w = 22
l = 22 - w ----------------------(I)
Area of rectangle= 120 square cm
l * w = 120
(22 - w) *w = 120 {from(I)}
22w - w² = 120
0 = 120 - 22w +w²
w² - 22w + 120 = 0
Sum = - 22
Product = 120
Factors = -12 , -10
w² - 22w + 120 = 0
w² - 12w - 10w + (-12)*(-10) = 0
w(w - 12) -10 (w -12) = 0
(w - 12)(w - 10) = 0
w -12 = 0 ;w - 10 = 0
w = 12 ; w = 10
Dimension of rectangle are: 12 , 10
