Circles m and k are congruent, qr is congruent to ln and op is congruent to vw. find y.

we have give the two circles and chords QR is congruent to LN.

it means QR=LN

-x=y+8

and OP is congruent to VW

OP=VW

x=3y+8

we know that -x=y+8

+x=-y-8

we need to equate two equations

we know that chords subtends in two congruent circles are same .

-y-8=3y+8

4y=16

y=4.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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