Hi friends please help me in this question :
Book : M.L. Aggarwal
Class: 9
Question 1:
A rectangular garden 10 m by 16 m is to be surrounded by a concrete walk of uniform width.Given that the area of the walk is 120 square metres, assuming the width of the walk to be x , form an equation in X and solve it to find the value of x.
Answers
Step-by-step explanation:
length of the rectangular garden=16m
breadth of the rectangular garden=10m
area of the rectangular garden=16x10
=160m
area of the concrete walk=120m
tatal area = area of the rectangular garden+area
of the concrete walk
=160+120
=280m
the concrete walk has uniform width (given)
therefore,
length of the whole rectangle (including concrete walk)=[16 + 2x]
breadth of the whole rectangle (including concrete walk)=[10+2x]
(16+2x)(10+2x)=280
4x*+ 52x +160-280=0
4x*+52x-120=0
dividing the whole equation by 4
x*+13x-30=0
x*+15x-2x -30=0
x(x+15)-2(x+15)=0
(x-2)(x+15)=0
x=2 or x= -15
as the width cannot be negative x=2
length of the outer rectangle =16+(2x2)
=16+4
=20m
breadth of the outer rectangle = 10+(2x2)
=10+4
=14m
HOPE U WILL UNDERSTAND
Answer:
Prepare a tree diagram on the family of the Bhonsales
and the Peshwas.
Step-by-step explanation:
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