Algebra 1

## picture has length 50 and width 40 area 1344 how far is it from the edge of the picture to the edge of the frame if this distance is uniform around the picture?

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# 2 Answers

We can solve this equation: (50-X)*(40-X)=1344 This x is twice the distance asked in the problem: so the equation to be solved is: 2000 - 50X - 40X +X^2 = 1344 => X2-90X + 656 = 0, solving this quadratic equation we have: X1=8 Units so the distance will
be 4 units the other x will not work because is too big.

Check 42*32 = 1344

the frame is 50x40

the area of the picture is 1344 sq units

let x=distance around the picture from picture to edge of frame

length and width of the picture is (50-2x) and (40-2x)

(50-2x)(40-2x)=1344

2000-80x-100x+4x

^{2}=13442000-180x+4x

^{2}-1344=0656-180x+4x

^{2}=04x

^{2}-180x+656=0divide by 4

x

^{2}-45x+164=0164=2x2x41 and 41+4=45

(x-4)(x-41)=0

x-4=0

x=4 units is the distance from picture to edge of frame