Edexcel IGCSE Math A Higher 2.4 B Forming Linear Equations Questions

Practise translating totals, costs, perimeters and grouped quantities into a linear equation and interpreting its solution.

Exam points

represent each worded quantity algebraically before equating it to the stated total
form a cost or perimeter equation with consistent units and like terms collected
solve the equation, then substitute back to calculate the quantity actually requested

[Maximum number: 5]

The diagram shows a regular hexagon, ABCDEF, and an isosceles triangle, GHJ.

Figure for Question Edexcel IGCSE Math A Higher 2.4 B Forming Linear Equations Questions question 1 — Edexcel IGCSE Math A Higher

Diagram NOT accurately drawn

The perimeter of the hexagon is equal to the perimeter of the triangle.
Find the length of each side of the hexagon.
Show clear algebraic working.
cm

Hexagon perimeter:
6(x-1)=6x-6
Triangle perimeter:
2(x+5)+2x-3=4x+7
Equate perimeters:
6x-6=4x+7 $2x=13,\qquad x=6.5$
Side of the hexagon:
x-1=5.5
Final answer:
$5.5\text{ cm}$

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Edexcel IGCSE Math A Higher 2.4 B Forming Linear Equations Questions question 1