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Intermediate June 2018 Unit 1 Q8

WJECIntermediateCurrent spec6 marks2D Area & Perimeter

8. In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.

In the diagram below, ABCE is a square whose perimeter is 28 cm.
CDE is a right-angled triangle whose area is 35 cm2.

Square ABCE with A bottom-left, B bottom-right, C top-right, E top-left; right-angled triangle CDE on top, with D directly above E, right angle at E, and DC the sloping side

Diagram not drawn to scale

Calculate the length of DE.
You must show all your working. [4 + 2 OCW]