Answer:
Width is 4cm, length is 12 cm.
Step-by-step explanation:
Write the problem as an equation.
(x+12)*(x)=48
Where x is the length of the shorter side.
Solve.
(x^2)+12x=48
x=4
Answer:
20.3 units
Step-by-step explanation:
Write and solve an equation involving ratios:
5 units 15.7 units
------------- = ----------------
9 units C
Cross-multiplying, we get 5C = 9(15.7), with C measured in "units."
Then 5C = 141.3, so that C = 141.3 units / 5 = 20.3 units.
![\sqrt{x} - \sqrt{y} = (\sqrt[4]{x}+ \sqrt[4]{y} )( \sqrt[4]{x} - \sqrt[4]{y} )=72\\\\ \sqrt[4]{x}- \sqrt[4]{y}=6\\\\ (\sqrt[4]{x}+ \sqrt[4]{y})*6=72\\\\ \sqrt[4]{x}+ \sqrt[4]{y}=12 \\ \sqrt[4]{x}- \sqrt[4]{y}=6 \\\\ 2 \sqrt[4]{x}=18==\textgreater\sqrt[4]{x}=9==\textgreater\ x=6561\\ 2 \sqrt[4]{y}=6==\textgreater\sqrt[4]{y}=3==\textgreater\ y=81\\ ](https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%7D%20-%20%5Csqrt%7By%7D%20%3D%20%28%5Csqrt%5B4%5D%7Bx%7D%2B%20%5Csqrt%5B4%5D%7By%7D%20%29%28%20%5Csqrt%5B4%5D%7Bx%7D%20-%20%5Csqrt%5B4%5D%7By%7D%20%29%3D72%5C%5C%5C%5C%0A%5Csqrt%5B4%5D%7Bx%7D-%20%5Csqrt%5B4%5D%7By%7D%3D6%5C%5C%5C%5C%0A%28%5Csqrt%5B4%5D%7Bx%7D%2B%20%5Csqrt%5B4%5D%7By%7D%29%2A6%3D72%5C%5C%5C%5C%0A%5Csqrt%5B4%5D%7Bx%7D%2B%20%5Csqrt%5B4%5D%7By%7D%3D12%20%5C%5C%20%0A%5Csqrt%5B4%5D%7Bx%7D-%20%5Csqrt%5B4%5D%7By%7D%3D6%20%5C%5C%5C%5C%0A2%20%5Csqrt%5B4%5D%7Bx%7D%3D18%3D%3D%5Ctextgreater%5Csqrt%5B4%5D%7Bx%7D%3D9%3D%3D%5Ctextgreater%5C%20x%3D6561%5C%5C%0A2%20%5Csqrt%5B4%5D%7By%7D%3D6%3D%3D%5Ctextgreater%5Csqrt%5B4%5D%7By%7D%3D3%3D%3D%5Ctextgreater%5C%20y%3D81%5C%5C%0A%0A%0A%20)
![\sqrt[4]{6561} - \sqrt[4]{81} =9-3=6\\\\ \sqrt{6561} - \sqrt{81} =81-9=72](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B6561%7D%20-%20%5Csqrt%5B4%5D%7B81%7D%20%3D9-3%3D6%5C%5C%5C%5C%0A%20%5Csqrt%7B6561%7D%20-%20%5Csqrt%7B81%7D%20%3D81-9%3D72)
