Question

Draw the following.
The square READ with RE = 5.1cm.

Answer 1

Hint: All sides are equal in square.Thus all sides will have the same length 5.1cm. Draw using compass and protractor and prove that the angle subtended are \[{{90}^{\circ }}\], as in a square, all angles are \[{{90}^{\circ }}\].

Complete step-by-step solution:
Let us first draw a rough figure of a square with a side of 5.1cm.
We know that in a square, all sides are equal.

\[\therefore AB=BC=CD=AD=5.1cm\]
And all angles are \[{{90}^{\circ }}\].
\[\angle A=\angle B=\angle C=\angle D={{90}^{\circ }}\]
So, we draw the square using 3 sides and 2 angle methods.
First, draw RE of length 5.1 cm.
Now, construct \[{{90}^{\circ }}\]from point R.

Now, construct \[{{90}^{\circ }}\]from point E.

Taking 5.1cm as the radius, and R as the center. Draw an arc marking the point where arc and line intersect as D.
Taking 5.1cm as radius and E as the center. Draw an arc.
Mark the point where arc and line intersect as A.

Now, join AD and label the sides we get,

$\therefore$ READ is the required square.

Note: All sides and angles of a square are equal. By fixing RE = 5.1 cm, with the use of a protractor, we can find \[{{90}^{\circ }}\]from point R and E to make up the square. If you were asked to draw a rectangle then, the opposite sides will be equal and all the angles will be in \[{{90}^{\circ }}\].