Question

Construct the following quadrilateral: Rectangle $\text{OKAY. OK = 7 cm, KA =5 cm}$

Answer 1

Explanation:

By the properties of the rectangle, we know that opposite sides of rectangles are equal and all corner angles are equal to $90°.$

Let's draw a rough sketch of the rectangle to get an idea of the figure -

$$\begin{gathered} \text{OK = 7 cm} \\ \text{KA = 5 cm} \end{gathered}$$

Let's construct the rectangle$\text{OKAY}$ using the above information -

Step 1: Draw a line segment $\text{OK = 7 cm}$, draw two rays$\text{OX and KZ}$ making right angle with$\text{OK}$ -

Step 2: Take an arc of radius $\text{5 cm}$ on the compass and cut arcs on rays $\text{OX and KZ}$, which intersect at points $\text{Y and A}$-

Step 3: Join $\text{AY}$to get the required rectangle -

Hence, $\text{OKAY}$ is the required the rectangle.