Question

can ahmed use the larger sheets of paper shown to make paper cutouts similar to his original hummingbird cutout? if not, how can he trim the sheets of paper so he can use them? justify your answer. are proportional to his cutout. he can use it if he cuts it down to 3 ft - by - □ ft.

Explanation:

Step1: Find the ratio of the original paper

The original paper has dimensions \(12\) in and \(9\) in. The ratio of length to width is \(\frac{12}{9}=\frac{4}{3}\).

Step2: Check the blue - colored paper

The blue - colored paper has dimensions \(4\) ft and \(3\) ft. The ratio of length to width is \(\frac{4}{3}\). Since \(\frac{4}{3}=\frac{4}{3}\), the blue - colored paper can be used directly.

Step3: Check the green - colored paper

The green - colored paper has dimensions \(180\) cm and \(120\) cm. The ratio of length to width is \(\frac{180}{120}=\frac{3}{2}\). Since \(\frac{3}{2}
eq\frac{4}{3}\), it cannot be used directly.

Step4: Trim the green - colored paper

Let the width after trimming be \(x\) when the length is \(180\) cm. Using the ratio \(\frac{4}{3}\), we have \(\frac{180}{x}=\frac{4}{3}\). Cross - multiply: \(4x = 180\times3\), so \(x=\frac{180\times3}{4}=135\) cm.

Answer:

The blue - colored paper (with dimensions \(4\) ft by \(3\) ft) can be used directly. The green - colored paper (originally \(180\) cm by \(120\) cm) should be trimmed to \(180\) cm by \(135\) cm.