Question

j) PQRS is a quadrilateral in which PR = 10 cm, perpendiculars from S and Q on PR are 3.4 cm and 4.6cm respectively. Calculatethe area of the quadrilateral.find PQRS

Answer 1

Here, since perpendiculars from S and Q on PR are 3.4 cm and 4.6cm respectively, we have the following dimensions:

PR = 10 CM

SM = 3.4 CM

QN = 4.6 CM

To find the area of the quadilateral, use the formula:

`\text{Area = }(1)/(2)\text{ PR (SM + QN)}`
`\text{Area = }(1)/(2)\text{ }\ast\text{ 10(3.4 + 4.6)}`
`\text{Area = }(1)/(2)\text{ }\ast\text{ 10(8)}`
`\text{Area = }(1)/(2)\text{ }\ast\text{ 80}`
`AREA=40cm^2`

Therefore, area of quadilateral PQRS is 40 cm squared