Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Measurement - perimeter and area.
Test Yourself 1.


 

Perimeter 1.

Write an algebraic expression (in the simplest form) to describe the perimeter of the above figure.

Answer.Perimeter is 20x + 12.
  2.
  3.

Calculate the perimeter of the shape shown in the above diagram (to 3 significant figures).

  4.
  5. A entrance to a tunnel is constructed with two concentric semicircles. The cross-section and the main measurements are shown in the following diagram.

Calculate the perimeter of the tunnel outline to the nearest m2.

Answer.63 m2.
Area 6. A string of length 40 cm is arranged so as to form a circle with the ends of the string meeting and there being no overlap.

What is the area of the circle so formed
(to the nearest cm2)?

Answer.127 cm2.
  7. Find the area of the annulus shown below to the nearest m2.

Answer.63 m2.
  8.

Write an algebraic expression (in the simplest form) to describe the area of the above figure.

Answer.Area is 21x2 + 24x.
  9. (i) Determine the dimensions of the rectangle shown below.

(ii) Hence find the area of the rectangle.

Answer.(i) x = 16.
(ii) Area = 8 × 56 = 448.
Conversions.

The area was calculated to be 1350 mm2.

What is this area in cm2?

   
   
   
Composite shapes.