Question

5. (a) A surveyor found that a rectangular playground is 20 m long and 13 m wide, corrected to the nearest metre. Suppose the actual length of the playground is x m and the breadth is y m. Write down an inequality for the range of the values of

(i)x
(ii) y ​

Answer 1

Let breadth of the rectangular playground =b
Length of the rectangular playground =(b+2)
Area of rectangular playground = Length × Breadth
⇒195=(b+2)×b
⇒195=b
2
+2b
⇒b
2
+2b−195=0
⇒b
2
+15b−13b−195=0
⇒b(b+15)−13(b+15)=0
⇒(b−13)(b+15)=0
⇒b=13 or b=−15
Value b of can't be negative. So b=13
Therefore, breadth of the rectangular playground =13 m
and length of the rectangular playground =15 m