Question

monday nights homework

1. which shape has a larger area? show or explain how you know.

determine the area of each shape. each small square represents one square unit.
2.1
2.2
2.3
2.4

1. draw your initials in block lettering. calculate the area of each initial.

Explanation:

Step1: Count squares for Shape P

Count the number of small - squares inside Shape P. Shape P has 12 square units.

Step2: Count squares for Shape Q

Count the number of small - squares inside Shape Q. Shape Q has 15 square units.

Step3: Compare areas

Since 15>12, Shape Q has a larger area.

For 2.1

Count the full squares inside the shape. The area is 22 square units.

For 2.2

Count the full squares inside the shape. The area is 28 square units.

For 2.3

We can divide the shape into a rectangle and a triangle. The rectangle at the bottom has length 6 units and width 4 units, so its area is \(6\times4 = 24\) square units. The triangle on top has base 6 units and height 2 units, and its area is \(\frac{1}{2}\times6\times2=6\) square units. The total area is \(24 + 6=30\) square units.

For 2.4

We can use the method of counting full - squares and combining non - full squares. After counting and combining, the area is 12 square units.

Answer:

1. Shape Q has a larger area.

2.1: 22 square units
2.2: 28 square units
2.3: 30 square units
2.4: 12 square units