Problem 1 :
Set up an equation and hence find the value of x and find the area.
Problem 2 :
Problem 3 :
Find x given that the square and the rectangle have equal areas.
Problem 4 :
A rectangular paddock has a length 300 m greater than its width. If the perimeter of the paddock is 1400 m, find:
(a) the width (b) the length.
Problem 5 :
The length of the rectangle is 11 m more than its width, the area of the rectangle is 2040 cm^{2}. Find the dimension of the rectangle.
Problem 6 :
The perimeter of this pentagon is 70 units.
a What is the value of x?
b What is the length of the shortest side?
Problem 7 :
The isosceles triangle illustrated has a base of length 18 cm.
a) What is the value of x?
b) Is the triangle equilateral? Explain your answer.
Problem 8 :
Adjacent sides of a rhombus have lengths (2x + 11) cm and (4x + 5) cm. Find x and hence find the perimeter of the rhombus.
Answers :
(1) x = 3 and area = 36 cm^{2}.
(2) x = 7
(3) x = 3
(4) Width = 200 and length = 500.
(5) Width of the rectangle is 40, length is 51.
(6) Longest side = 24 units and shortest side = 6 units.
(7) x = 11 and it is a equilateral triangle.
(8) 68 cm.
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