Question

Angela has a rectangular piece of paper and cuts a rectangle out of a corner as shown at right.

Answer 1

Thank you for the question:

Attached is the missing diagram for this question:

We first need to calculate the area of the original piece of paper in order to find the answer.

We have the length = 16 cm and the width = 21 cm

Area 1 = length x width = 16 x 21 = 336 cm^2

Now we will calculate the area of the rectangle she cut from the corner.

length = 16 - 9 = 7 cm

width = 21 - 6 = 15 cm

Area 2 = length x width = 7 x 15 = 105 cm^2

Now we will subtract these areas to get the area of the remaining part.

area of remaining part = Area 1 - Area 2 = 336 - 105 = 231 cm^2

Answer 2

Find the area of the rectangle before cut out:

Area = Length x Breadth

Area = 16 x 21 = 336  m²

Find the area of the cut out:

Length = 21 - 6 = 15 cm

Breadth = 16 - 9 = 7 cm

Area = Length x Breadth

Area = 15 x 7 = 105 cm²

Find the area of the paper after it is cut out:

Area = 336 - 105 = 231 cm²

Answer: The area is 231 cm²