Question

The perimeter of a rectangular is 64m and its area is 207m square. Find the length and breath of the campsite

Answer 1

length 23m and breadth 9m

Step-by-step explanation:

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Answer 2

2(l+b) = 64

l = 64/2 - b

l = 32- b. (1)

l×b = 207

apply (1)

so

(32-b) ×b = 207

32b - b² = 207

0= b²-32 b +207

Factorise

b²- 32b + 207

b²-23 b - 9b +207

b( b-23) -9( b- 23)

(b - 9)(b-23)

b= 9

b=23

If b is 9 then l = 32-9 = 23

If b is 23 then l = 32-23 =9