Math, asked by plshomeworkhelp, 7 months ago

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Answered by PRADEEPGURU
1

Step-by-step explanation:

Area of flowers bed = 260m²(given)

Width of path = x

Length of flowers bed = 28-2x

Width of flowers bed =12-2x

Area of flowers of bed =length of flower bed * width of flowers bed

(28-2x)(12-2x)=260

336-24x-56x+4x²=260

4x²-80x+76=0

x²-20x+19=0

x²-19x-x+19=0

x(x-19)-1(x-19)=0

(x-19)(x-1)=0

Roots will be

x-19=0; x=19

x-1=0;x =1

When, x=1

Length of flowers bed = 28-2x =28-2(1)=26m

Length of flowers bed = 26m

Width of flowers bed =12-2x=12-2(1)=10 m

Width of flowers bed =10 m

Solutions:-

1)

Width of path x= 1 m

2)

Length of flowers bed = 26m

Length of flowers bed = 26mWidth of flowers bed =10 m

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