Question

Sketch the rectangles and your tiling. Write the Dimensions and the units you counted in the blanks. Then, use multiplication to confirm the area. Show your work.

Answer 1

Explanation:

Below are the dimensions of the rectangle and the crossed portions are unwanted regions.

A.

Rectangle A:

Length, l = 3 units

Width, b = 2 units

Area of a rectangle = length × width

= 3 × 2

= 6 units^2

B.

Rectangle B:

Length, l = 3 units

Width, b = 2 + 1/2 units

= 5/2 units

Area of a rectangle = length × width

= 3 × 5/2

= 15/2 units^2

C.

Rectangle C:

Length, l = 5 units

Width, b = 1 + 1/2 units

= 3/2 units

Area of a rectangle = length × width

= 5 × 3/2

= 15/2 units^2

D.

Rectangle D:

Length, l = 2 units

Width, b = 1 + 3/4 units

= 7/4 units

Area of a rectangle = length × width

= 2 × 7/4

= 7/2 units^2

E.

Rectangle E:

Length, l = 5 units

Width, b = 3/4 units

= 3/4units

Area of a rectangle = length × width

= 5 × 3/4

= 15/4 units^2

Answer 2

The area of the rectangle is
`12units^(2)`

Explanation:

The sketch is in the attachement.

long:
`4-units`

wide:
`3-units`

The rectangle has 4 units long and 3 units wide

area of rectangle is the product of long and wide side.

`Area=l*w\\Area=4units*3units\\Area=12units^(2)`