In this page perimeter and area solution7 we are going to see solution of some practice questions.

**Question 7 :**

The area of a quadrilateral is 54 cm². The perpendiculars from two opposite vertices to the diagonal are 4 cm and 5 cm. What is the length of this diagonal?

**Solution:**

Area of the quadrilateral = 54 cm²

Length of perpendiculars h₁ = 4 cm

h₂ = 5 cm

Length of diagonal = ?

Area of quadrilateral = 54 cm²

(1/2) **x** d **x** (h₁+h₂) = 54

(1/2) **x** (d) **x** (4 + 5) = 54

(1/2) **x** (d) **x** (9) = 54

d = 54 **x **2 **x **(1/9)

d = 6 **x **2

d = 12 cm

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- Perimeter of Sector
- Perimeter of Sector Worksheets
- Length of Arc
- Practice questions on length of arc
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- Area of a Circle
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- Area of Equilateral Triangle
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- Area of Square
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- Area of Rhombus
- Area of Trapezium
- Area of Quadrilateral
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