SOLUTION: Cathy's yard is in the shape of a rectangle. The length is 5 m. more than three times the width of the rectangle. The area of the rectangle is 350 sq.m. Find the length and widt

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Question 21958: Cathy's yard is in the shape of a rectangle. The length is 5 m. more than three times the width of the rectangle. The area of the rectangle is 350 sq.m. Find the length and width of the rectangle.
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
width = x
lenght = 3x+5
area = 350
(x)(3x+5)=350
3x%5E2%2B5x=350
3x%5E2%2B5x-350=0
Use Quadratic Formula: x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=3, b=5, c=-350
x+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A3%2A%28-350%29+%29%29%2F%282%2A3%29+
x+=+%28-5+%2B-+sqrt%28+25%2B4200%29+%29%29%2F%286%29+ / divide by 6
x+=+%28-5+%2B-+sqrt%28+4225%29+%29%29%2F%286%29+ / divide by 6
Add: x=10
3(10)+5=35
Hence, the width is 10cm and the length is 35cm