Question

tomas is making shapes out of paper for a geometry project. how many square centimeters of fabric will tomas need to make the paper shape below? tomas decided to change the paper shape, as shown below. would the area of the new shape be more than or less than the original area of the paper shape, 63 square centimeters? what would be a good estimate for the new area of the shape? the new area of the paper shape would be 63 square centimeters. a good estimate for the new area of the park would be square centim

Explanation:

Step1: Analyze the change in the shape

The original area is 63 square centimeters. When the shape is changed, the new shape has a part that is removed (the jagged - like part). Since some part of the fabric is removed, the area of the new shape will be less than the original area.

Step2: Estimate the new area

The original shape can be thought of as composed of two rectangles. The lower rectangle has dimensions \(4\times5 = 20\) square centimeters and the upper rectangle (before the change) has dimensions \(7\times(9 - 5)=7\times4 = 28\) square centimeters. But if we assume that the removed part (the jagged - like part) has an area of about 10 square centimeters (by visual inspection, comparing the size of the removed part to the known rectangles). The original area is \(4\times5+7\times(9 - 5)=20 + 28=48\) (wait, no, maybe another way. Let's assume the original area calculation was wrong in the problem statement's mention of 63. But if we go by the comparison method).
If the original area is 63, and the new shape has a part removed. If we assume the removed part is about 10 (by comparing the size of the "missing" part to the known rectangles in the figure, say a rectangle of approximate dimensions \(2\times5\)). Then the new area is \(63-10 = 53\)

Answer:

less than; 53