The perimeter of triangle ABC is 16 cm . If AB= (5 + x ) cm, AC = (2 + x ) cm and BC= 5 cm, find the value of x and hence the actual lengths of ABand AC .View Ans

The length of a rectangular field is 20m longer than the width. Find an expression for the perimeter of the field in terms of its width.

The parallel sides of a trapezium are 8cm and 12cm respectively. If the distance between the parallel sides is 9cm, calculate its area.

Suppose a metal wire is bent to form a semi-circle with a radius of 14 cm. Find; (i) The total length of the metal wire.

(ii) The area bounded by the metal wire.

A school assembly ground is 30m by 30m. Part of the ground is a concrete rectangle of 25m by 5m, while the rest is grass. Calculate the area of the grass.

If the area of a square tomato garden is 361 m^2, find its perimeter.  

Calculate the area of the following figure, if 0 is the centre of the circle and OABC is a square.

The length of one side of a square is (8x + 10) cm. If the side lengths of the square are reduced by half, find the equation for the perimeter of the square after changing the length.

The area of a rectangular room is 1125 cm ² . If its length is five times its width, find its perimeter.

If a triangle has two equal sides of length x cm each and the third side measures 6 cm more than the length of these congruent sides, write down an equation that represents the perimeter of this triangle.

The length of one side of a square is (3x + 4) cm. If the side lengths of this square are doubled, find the equation for the perimeter after changing the length of the square.

Find area of the Shaded region                          

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Calculate the area and the perimeter of the following trapezium:

Find the perimeter of a square, if its area is 25 cm² 

Draw a circle with center 0 and hence indicate the following: 

1. Arc AB 
2. Chord CD 
3. Sector AOB 
4. Radius AO

The side of a square carpet is 14 m. If a designer decides to make the largest possible circular carpet; 

(i) what will be the area of the formed circular carpet? 

(ii) find the area of the remaining pad of the carpet. 

A mason wants to design a small room 500 cm by 200 cm. ( i) Draw a diagram of the room at a scale of 1:100 

(ii) Calculate the area of the room using the result of (i).