Question

What is the area of a rectangle that measures 3V5 - 4V12 by V125? PLEASE HELPPP

Answer 1

`\textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=√(125)\\ \qquad √(5^2\cdot 5)\\ \qquad 5√(5)\\ w=3√(5)-4√(12)\\ \qquad 3√(5)-4√(2^2\cdot 3)\\ \qquad 3√(5)-8√(3) \end{cases}\implies \begin{array}{llll} A=(5√(5))(3√(5)-8√(3))\\\\ A=15(√(5))^2-40√(3)\cdot √(5)\\\\ A=15√(5^2)-40√(3\cdot 5)\\\\ A=15\cdot 5-40√(15)\\\\ A=75-40√(15) \end{array}`