please solve the question 9
Answers
Answer:
Step-by-step explanation:
Hope it will help you!!!
Fig. Is given below!!
Length and breadth are in ratio 5:2.
Let the length be 5x.
and breadth be 2x.
Area of the rectangle EFGH = 5x × 2x
=> 10x² ........i)
Now, the width of the park surrounded by the rectangular field i.e. ABCD.=>2.5m
Then, the length of park = 2.5+2.5+5x
= 5+5x
and; the breadth of park = 2(2.5)+2x
= 5+2x
Area of park ABCD = (5+5x)(5+2x)
= 10x²+35x+25
Area(ABCD) - Area(EFGH) = 445m²
10x²+35x+25-10x² = 445
35x+25 = 445
35x = 445-25
35x = 420
x = 420/35
x = 12m
Dimensions of the park is:-
Length =5+5x => 5+5(12) => 65m
Breadth =5+2x => 5+2(12) => 29m