leasiablack55 leasiablack55
  • 11-03-2021
  • Mathematics
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The length of a rectangular garden is 3 yards more than its width. The area of the garden is 40 square yards. Find the length of the garden.

The length of a rectangular garden is 3 yards more than its width The area of the garden is 40 square yards Find the length of the garden class=

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jessicasyasya
jessicasyasya jessicasyasya
  • 11-03-2021

Answer:

length=8 , wide=5

Step-by-step explanation:

Let length=x and wide=y

convert the question into two equations

3+y=x .......1

xy=40 .......2

so we need to substitute x into y or y into x

x=3+y ,

(3+y)y=40

y²+3y=40

y²+3y-40=0

from that use calculator or manually factorise it

(y+8)(y-5)=0

y= –8 , y=5

we need to choose positive answer so y=5

then find for x

5x=40

x=8

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