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Algebraic PerimetersQuestions about the perimeters of polygons given as algebraic expressions adapted from GCSE past examination questions. |
The diagrams show a triangle and a rectangle (not drawn to scale).
The area of the rectangle is six times larger than the area of the triangle. Find the value of \( x \)
The diagram shows an isosceles triangle (not drawn to scale).
Angle ABC = angle ACB, AB = \(3x+8\) and AC = \(5x-7\).
Use an algebraic method to find the value of \(x\).
The perimeter of the triangle is the same length as the perimeter of the square.
Find an ex
Two rectangles, not drawn to scale, are shown below. All measurements are in centimetres. Both rectangles have the same areas. Work out the perimeter of the rectangle on the left.
The area of rectangle PQRS (not to scale) is 80cm2.
(a) Show that \( x^2 + 14x = 40\).
(b) Find the value of \( x \) giving your answer correct to three significant figures.
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