Question

Construct the following quadrilateral: Quadrilateral $\text{JUMP}$. $\text{JU = 3.5 cm, UM = 4 cm, MP = 5 cm, PJ = 4.5 cm, PU = 6.5 cm}$

Answer 1

Let's draw a rough sketch of a quadrilateral$\text{JUMP}$, to get an idea about the parallelogram -

$$\begin{gathered} \text{JU = 3.5 cm,} \\ \text{UM = 4 cm,} \\ \text{MP = 5 cm,} \\ \text{PJ = 4.5 cm,} \\ \text{PU = 6.5 cm} \end{gathered}$$

Let's construct the quadrilateral$\text{JUMP}$ using the information given in the question -

Step 1: Draw a line segment$\text{PU = 6.5 cm}$, then take an arc of radius $\text{4.5 cm}$ on the compass & cut an arc from the point$\text{P}$ -

Step 2: Take an arc of radius $\text{3.5 cm}$ on the compass & cut an arc from the point$\text{U}$ which intersects at the point$\text{J}$, then join $\text{PJ and UJ}$ -

Step 3: Take an arc of radius $\text{5 cm}$ on the compass & cut an arc from the point$\text{P}$, then change the radius to $\text{4 cm}$ and cut another arc from a point$\text{U}$ which intersects each other at a point$\text{M}$ and then join $\text{PM and UM}$ -

Hence, $\text{JUMP}$is the required quadrilateral.