TULIS 40 cm, and perpendiculars drawn to it from the opposite
vertices are 12 cm and 9 cm. Find the area of the quadrilateral.
The area of a quadrilateral ABCD is 325 cm2. Find the length of the perpendicular drawn from Don AC
if AC = 25 cm and the length of the perpendicular from B on AS
Answers
Answer:
TULIS 40 cm, and perpendiculars drawn to it from the opposite
vertices are 12 cm and 9 cm. Find the area of the quadrilateral.
The area of a quadrilateral ABCD is 325 cm2. Find the length of the perpendicular drawn from Don AC
if AC = 25 cm and the length of the perpendicular from B on AS
Answer:
Measuring the area of a quadrilateral
To evaluate the area of a quadrilateral, we divide it into two basic geometric figures, such as . Then we find the area of the two individual triangles using the formula and add these areas to find the area of the quadrilateral.
Calculating the area of a quadrilateral
Draw a diagonal AC connecting two opposite vertices of the quadrilateral ABCD.
Draw a perpendicular each from the other two vertices
(B and D) on the diagonal AC.
The area of the quadrilateral will be:
Area of quadrilateral ABCD = Area of △ABC + Area of △ADC
So, area of quadrilateral ABCD = (½ × AC × BE) + (½ × AC × DF)
We can calculate the area of different types of quadrilaterals by using the given formula. For the quadrilateral ABCD, if we use centimeter as the unit of measurement, the unit of measure for the area will be cm2 .
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