Question

7. The height of a parallelogram is one-third of its base. If the area is 108 cm?, find the
base and height.
8. The area of a rhombus is 119 cm2 and its perimeter is 56 cm. Find its altitude.
9. One side and corresponding altitude of a parallelogram are 50 cm and 8 cm. If the other
altitude is 4 cm, find the length of other pair of parallel sides.
10. Area of a parallelogram is 625 m2. Find the length of sides of parallelogram if altitudes
corresponding to sides are 20 m and 25 m.​

Answer 1

Solution for the 7th question is in the above attachment

Answer 2

Step-by-step explanation:

8..........The area of rhombus =119\ cm^2=119 cm

2

The perimeter of rhombus =56\ cm=56 cm

Let s be the side of rhombus, then the perimeter of rhombus=4s=564s=56

⇒ s=14

Area of rhombus=side\times height=119\ cm^2side×height=119 cm

2

\begin{gathered}\\\Rightarrow14\times height=119\\\Rightarrow\ height=\frac{119}{14}\\\Rightarrow\ height=8.5\ cm\end{gathered}

⇒14×height=119

⇒ height=

14

119

⇒ height=8.5 cm

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