A rectangle with a total of 64 square centimeters has been broken into two rectangles with areas of 40 square centimeters and 24 square centimeters as shown. The common length of
the two smaller rectangles is a whole number that is greater than either width 1 or width 2,
which are both whole numbers. From this information, determine the length, width 1, and
width 2. Explain how you found your answers.
width 1 width 2
length
40 sq. cm
24 sq. cm

26

step-by-step explanation:

130.66 for edgedunity students

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough