The length of a swimming pool is 8m longer than its width and the area is 105m².
Given:
A=105m²
l=w+8
Solution:
A= lw
105m²=w(w+8)
0=w²+8w-105
A square garden will be planted by a border of flowers. The border will be of the same dimensions around the entire garden and the has an area of 81m².
Given:
A=81m²
Solution:
A= s²
81m²=s²
0=s²-81
The width of the blackboard is 4 less than its width. The blackboard has an area of 35m².
Given:
A=35m²
w=l-4
Solution:
A=lw
35m²=l(l-4)
0=l²-4l-35