eQuizShow

Area and Perimeter Challenge

Measurement

Question: What is 6.75m in centimetres?
Answer: 675cms

Question: What is the word that belongs in the blank space?

We measure the area of a shape in _______________ units.
Answer: square or squared

Question: When we are talking about the perimeter of a shape, what are we referring to?

(Answer needs to be written as a full sentence)
Answer: The distance around the outside of the shape.

Question: Fill in the blanks to make this statement correct:

A rhombus is a parallelogram with opposite equal ______________ and_______________ angles and four equal sides
Answer: obtuse and acute

Question: What is a sector of a circle?
Answer: The part of a circle enclosed by two radii of a circle and their intercepted arc.

Area

Question: What is the area of a rectangle with the side's width = 10mms and the length = 20cms.

Answer: 2cms squared or 2 squared cms

Question: What is the area of a triangle with a perpendicular height measuring 20cms and a base measuring 5cms?
Answer: 50cms squared or 50 squared cms.

Question: What is the area of the shaded part of this shape?

Your answer needs to be written to 2 decimal places.
Answer: 5.34 cms squared.

Question: What is the area of a circle with a radius measuring 10cms?

Write your answer with no decimal places using Pi as 3.14
Answer: 314cms squared

Question: Why does the area of a square with a side equalling 4cms equal 16 cmd squared?
Answer: Because a square with an area measuring 16 cmd squared, would have 16 squares in it, or 4 rows of 4 squares, equalling 16.

Perimeter

Question: What is the perimeter of a rectangle with a width = 1.5cms and a length measuring 70mms.
Answer: First, you had to change the lengths to the same unit. This gives you 7 x 1.5cms.

Perimeter = 2(L+B)
Therefore, perimeter = 2(7+1.5)
= 2(8.5)
perimeter = 17cms

Question: What is the perimeter of an isosceles triangle with two sides each equalling 5cms and the other side = 10cms?
Answer: 20cms

Question: What is the maximum possible length of a side of a rectangle when the perimeter of this shape = 14cms? Each side of the rectangle is measured in whole single (not fractional) units.
Answer: 6cms

Question: What is the circumference of a circle with a diameter measuring 10cms?

(Use Pi as 3.14 and write your answer to a single decimal place)
Answer: 31.4cms

Question: What is the perimeter of the shaded figure in this diagram?

Answer: 57cms

Formula

Question: What is the formula we use to find the area of a rectangle or square?
Answer: Area of rectangle = length x width or length x breadth

Question: What is the formula we use to find the area of a triangle?
Answer: 1/2(bh)

Question: What is the formula that we use to find the area of a circle?
Answer: pi x r squared

Question: Why is the formula for finding the perimeter of a rectangle = 2(L+B)

(You need to write your answer in a full sentence.
Answer: Because you are finding the distance around the outside of the shape, and you are adding 2 lengths and 2 breadths together which is the same as saying 2(L+B).

Question: What formula would you use to find the area of the shaded area given. Both shapes are squares.

Answer: x squared - y squared

Challenge

Question: The area of a triangle = 20cms and the base = 10cms. What is the height of the triangle?
Answer: 4cms

Question: If the perimeter of a rectangle = 28.4 and the length of one of its sides is equal to 9cms, then what is the width of the rectangle?
Answer: 5.2cms

Question: What is the largest possible perimeter of a rectangle with an area equalling 40cms squared?
Answer: 82cms

Question: How would you find the area of the shaded area given in the (circle within a circle) picture given here?

You don't need to use a formula, nor do you need to find the answer. I just want you to describe how you might find the answer in simple everyday plain la
Answer: You would subtract the area of the smaller circle from the area of the larger circle.

Question: What is the area of a semi-circle with a radius measuring 10cms?
Answer: 157 squared cms