Mathematics 0580 · IGCSE · Area and perimeter

Area and perimeter — practice question

ABCD forms a square with $AB = (x - 4)$ cm and $BC = 7$ cm. EFG is an isosceles triangle with the equal sides indicated, and each of those equal sides is $(x - 1)$ cm.
(a)[1]

Determine the value of $x$.

(b)[2]

Square $ABCD$ and isosceles triangle $EFG$ have equal perimeters. Calculate the length of $FG$.

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