The length of a rectangle is 2 centimeters less than its width. What are the dimensions of the rectangle if its area is 195 square centimeters?

Length=15 cm

Width=13 cm

Step-by-step explanation:

-Let x be the width dimension, the length will be (x-2)

-The area of a rectangle is given by the formula;

#We substitute the length and width values and equate to the given area:

#Rewrite as a quadratic and solve for x:

Since dimensions are always positve, the x value is 15

x=15

x=13

Hence, the dimensions of the rectangle are length=15 cm and width=13 cm

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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