To find the new length of the rectangle at a scale where the width is 1.5 inches long, we must divide the current width of the rectangle by the desired width of the new scale drawing.
If the current width of the rectangle is labeled as "x" inches, then the length of the rectangle must be 2x inches. This is because a rectangle has two sets of equal sides.
Given that Spencer wants the width of the new scale drawing to be 1.5 inches long, we can set up the following proportion:
x / 1.5 = 2x / 1
Solving for x, we get:
x = 1.5 / 2
x = 0.75 inches
Therefore, the length of the rectangle at the new scale must be 2(0.75) = 1.5 inches.
Hence, Spencer's new scale drawing of the rectangle would have dimensions of 1.5 inches by 1.5 inches.
Spencer draws a rectangle to represent the size of the city block where he lives. The rectangle is labeled in inches. Spencer decides he wants to make a smaller scale drawing of the rectangle in which the width is just one.5 inches long. What would be the length of the rectangle and Spencer‘s new scale drawing write your answer in decimal form.
1 answer