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Question P4 Rectangle and square measurement

perimeter of a composite rectilinear figure

A composite rectilinear figure is formed by removing a 4 cm by 3 cm corner from a 12 cm by 8 cm rectangle. Find its perimeter.

An L-shape cut from a 12 cm by 8 cm outer rectangle; the removed corner is 4 cm by 3 cm.12 cm8 cm4 cm3 cm

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About this method

Rectangle and square measurement

Use opposite equal sides, undo the area or perimeter formula, and count each outside edge once.

In this one. Trace only the outside boundary. The two new notch edges replace equal lengths removed from the original outer edges.

Undo or tracearea48 split into rows of 8 gives width 6perimeterfour equal square sides

How to spot it

Squares tiling a rectangle, or a shape made of several rectangles joined together, point here. The question asks for area, perimeter, or the length of a missing side.

Common mistake

Children multiply length by width when the question actually asks for perimeter. On a composite shape, they add only the labelled sides and miss the ones they must work out themselves.

Practise a similar question

Standard A rectangle has area 63 cm² and length 9 cm. Find its width.
All 11 with this pattern →
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