Answer: The side lengths of mirror and painting are 7 ft and 9 ft respectively.
Step-by-step explanation: Given that a square mirror has sides measuring 2 ft less than the sides of a square painting and the difference between their areas is 32 ft.
We are to find the lengths of the sides of the mirror and the painting.
Let x ft represents the length of the side of mirror. Then, the side length of square painting is (x+2) ft.
According to the given information, we have

Therefore, the side length of mirror is 7 ft and the side length of painting is (7+2) = 9 ft.
Thus, the side lengths of mirror and painting are 7 ft and 9 ft respectively.
Answer:
1.33 or 133/100
Step-by-step explanation:
formula=area of base x height x 1/3
A=2 x 2 x 1/3 or
A=2 x 2 / 3
A=4 / 3
A=1.33 or 133/100
check the picture below.
so the triangular prism is really just 3 rectangles and 2 right-triangles,
now, we know the base of one of the triangles is 2.6, what's its height?
since it's a right-triangle, we can simply use the pythagorean theorem to get "h".

so, we can now, simply get the area of both of the triangles and the three rectangles and sum them up, and that's the area of the triangular prism.
![\bf \stackrel{two~triangles}{2\left[ \cfrac{1}{2}(2.6)(4.5) \right]}~~+~~\stackrel{rectangle}{(2.6\cdot 4.3)}~~+~~\stackrel{rectangle}{(4.3\cdot 3.9)}~~+~~\stackrel{rectangle}{(4.3\cdot 5.2)} \\\\\\ 11.7+11.18+22.36\implies \blacktriangleright 45.24 \blacktriangleleft](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Btwo~triangles%7D%7B2%5Cleft%5B%20%5Ccfrac%7B1%7D%7B2%7D%282.6%29%284.5%29%20%5Cright%5D%7D~~%2B~~%5Cstackrel%7Brectangle%7D%7B%282.6%5Ccdot%204.3%29%7D~~%2B~~%5Cstackrel%7Brectangle%7D%7B%284.3%5Ccdot%203.9%29%7D~~%2B~~%5Cstackrel%7Brectangle%7D%7B%284.3%5Ccdot%205.2%29%7D%0A%5C%5C%5C%5C%5C%5C%0A11.7%2B11.18%2B22.36%5Cimplies%20%5Cblacktriangleright%2045.24%20%5Cblacktriangleleft)