IDNStudy.com, ang iyong destinasyon para sa malinaw at mabilis na mga sagot. Ang aming platform ay nagbibigay ng mga maaasahang sagot upang matulungan kang gumawa ng matalinong desisyon nang mabilis at madali.

the length of a swimming pool is 8 m longer than its width and the area is 105m squared

Sagot :

Length = 15 m
width = 7 m
We let the width be x, this would make the length x+8 so:
Area = length * width
105 = (x+8)x
105 = x²+8x
0 = x²+8x-105

We look for two numbers with a product of 105 and an absolute difference of 8.
105 - 1 = 104  X
35 - 3 = 32  X
21 - 5 = 16  X
15 - 7 = 8  √

Therefore:
0 = (x+15)(x-7)
So the possible value of x are -15 and 7. We cannot have a negative value since a length is never negative.

So the width is 7m and the length is 15m.