Dorothy is drawing a block on a poster. she knows that the area of the block square cm. determine which of the following are possible dimensions of the block, in cm.

(x-6)(x-1)

Step-by-step explanation:

To find possible dimensions , we need to factor x^2 - 7x + 6

x^2 - 7x + 6

Here sum is -7  and product is 6

-1 times -6 = 6

-1 + (-6) = -7

Now we break -7x using factors -1  and -6

Now we do groping

factor out x-6

(x-6)(x-1)

-

answer: 40.95

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4