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mathematics UK Year 7 Mathematics (KS3)
 
Solved problems for the chapter:
 

Area and perimeter of rectangles

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Detailed solution steps are available at:
 
https://en.openprof.com/wb/chapter:area_and_perimeter_of_rectangles/5187/


Example 1.

This is a right-angled triangular tile.




How many of these triangular tiles fit together to make a 4 cm by 4 cm square?
the problem is without solution steps    
Example 2.

A rectangle measures 4 centimetres by 8 centimetres.




Kelly uses three of these rectangles to make a larger rectangle.




Work out the distance around the outside of this larger rectangle.
the problem is without solution steps    
3.

Calculate the area of a square with side .

    
4.

A rectangle has area and side . How long is the side b?

    
5.

Esther drew a rectangle with sides and long. She then wanted to draw another rectangle with the same area that would have a length of . What will be the width of this rectangle?

    
6.

Which of the given rules illustrates the calculation of the area of a rectangle?


  • The area of a rectangle is equal to the sum of twice the page a and twice the page b.

  • The area of the rectangle is equal to the product of page a and page b.

    
7.

The length of a rectangle measures 9 cm and the perimeter is 30 cm. Calculate the area of the rectangle.

    
8.

If the length of a rectangle is 2a and the width is twice as short as its length. Calculate:

  • the perimeter

  • and the area

    

9.

Calculate the area of a square whose side s is 7 cm.

    
10.

Two sides of a square of side length 5a are each increased by 3a and the other two sides are each shortened by a.

  • Find its new length.

  • Find its new width.

  • Calculate its perimeter.

    
11.

The area of the rectangle measures . How wide is the rectangle if it is long?