Step-by-step explanation:
1. let x= length and y= width
xy= 350
2x+ 2y = 90
2y= 90-2x
y= 45-x
➡️ x(45-x)= 350
45x-x²=350
x²-45x+350=0
(x-35)(x-10)
x= 35, x=10
Length= longer side, 35 m.
2. let x= length and y= width
xy=240
2x+2y = 64
2x= 64-2y
x= 32-y
➡️ (32-y)(y)= 240
32y-y²=240
y²-32y+240=0
(y-12)(y-20)
y= 12, y=20
Width= 12m.
3. let x= length and y= width
xy= 160
x= 2y+3
2y= x-3
y= (x-3)/2
➡️ (x)[(x-3)/2]= 160
4. let x= length and y= width
x= 3y+3
xy= 126
3y= x-3
y= (x-3)/3
➡️ (x)[(x-3)/3]= 126
5. mario= x, Kenneth=y
x= y-20
1/x + 1/y = 1/90
➡️ 1/(y-20) + 1/y = 1/90
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Answers & Comments
Step-by-step explanation:
1. let x= length and y= width
xy= 350
2x+ 2y = 90
2y= 90-2x
y= 45-x
➡️ x(45-x)= 350
45x-x²=350
x²-45x+350=0
(x-35)(x-10)
x= 35, x=10
Length= longer side, 35 m.
2. let x= length and y= width
xy=240
2x+2y = 64
2x= 64-2y
x= 32-y
➡️ (32-y)(y)= 240
32y-y²=240
y²-32y+240=0
(y-12)(y-20)
y= 12, y=20
Width= 12m.
3. let x= length and y= width
xy= 160
x= 2y+3
2y= x-3
y= (x-3)/2
➡️ (x)[(x-3)/2]= 160
4. let x= length and y= width
x= 3y+3
xy= 126
3y= x-3
y= (x-3)/3
➡️ (x)[(x-3)/3]= 126
5. mario= x, Kenneth=y
x= y-20
1/x + 1/y = 1/90
➡️ 1/(y-20) + 1/y = 1/90