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Playing with Constructions — MATHS STD 6 — Question

Gujarat BoardEnglish MediumSTD 6MATHSPlaying with Constructions5 Marks
Question
Construct a rectangle of sides 8 cm and 4 cm. How will you construct a square inside, as shown in the figure, such that the centre of the square is the same as the centre of the rectangle ?
Image
Hint.
Draw a rough figure. What will be the sidelength of the square? What will be the distance between the comers of the square and the outer rectangle?
✓

Answer

Draw a rectangle PQRS of sides 8 cm and 4 cm.
Image
Next, draw lines LN and MO from the midpoints of opposite sides such that they intersect side PQ at L, QR at M, RS at N, and PS at O respectively.
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Since the centre of square and rectangle is same and the width of rectangle is 4 cm, so we draw a square of side 4 cm with the centre of rectangle and named as ABCD.
Image
∴ The side length of the square is 4 cm and the distance between the comers of the square and the outer rectangle = PL – AL = 4 cm – 2 cm = 2 cm.

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