Question

the trapezoids shown below are similar
If the area of the smaller trapezoid is 325 m^2, what is the area of the larger trapezoid to the nearest whole number?
A.1,143m^2 B.937m^2 C.609m^2 D173m^2

Answer 1

\(\bf \cfrac{{\color{brown}{ area1}}}{{\color{blue}{ area2}}}=\left(\cfrac{{\color{brown}{ side1}}}{{\color{blue}{ side2}}}\right)^2\qquad thus
\\ \quad \\

\cfrac{{\color{brown}{ 325}}}{{\color{blue}{ x}}}=\left(\cfrac{{\color{brown}{ 16}}}{{\color{blue}{ 30}}}\right)^2\implies \cfrac{325}{x}=\cfrac{16^2}{30^2}\)