(05.01)A poster is shown below: A rectangle is shown. The length of the rectangle is labeled 12 feet. The width of the rectangle is labeled 3 feet. What are the dimensions if the poster is enlarged by a factor of five over two ? 7.5 ft by 30 ft 15 ft by 60 ft 1.5 ft by 6 ft 15 ft by 6 ft

Answer:The correct answer is the first option: 7.5 ft by 30 ft.Step-by-step explanation:If a rectangle is enlarged by a certain factor, that means that its height and width are both enlarged by such a factor. The new dimensions of the rectangle are obtained by multiplying the old dimensions by the enlarging factor, therefor we can compute the new dimensions as:[tex]W_N = W_O \cdot f[/tex][tex]H_N = H_O \cdot f[/tex]Where [tex]W_N[/tex] is the new width, [tex]W_O[/tex] is the old width, [tex]H_N[/tex] is the new height, [tex]H_O[/tex] is the old height, and [tex]f[/tex] is the enlarging factor.From the above we can finally get that:[tex]W_N = 3 \cdot \frac{5}{2} = \frac{15}{2} = 7.5 ft[/tex][tex]H_N = 12 \cdot \frac{5}{2} = \frac{60}{2} = 30 ft[/tex]