Question

The area of a quadrilateral is 227.2 cm2 and the length of the perlendicular from the opposite vertices to a diagonal are 7.2 cm and 8.8cm .What is the length of the diagonals

Answer 1

Answer:

Approach :

Area of the quadrilateral is the sum of the areas of both triangles. We know that the area of the triangle is 1/2*base*height.

Therefore, the area of a quadrilateral can be calculated as :

Area = 1/2 * d * h1 + 1/2 * d * h2

= 1/2 * d * ( h1 + h2 )

Answer 2

The length of diagonal is 28.4 cm.

Step-by-step explanation:

Since we have given that

Area of quadrilateral = 227.2 sq. cm

Length of perpendicular from the opposite vertices to a diagonal = 7.2 cm and 8.8 cm

So, it becomes,

$Area=\dfrac{1}{2}(h_1+h_2)\times d\\\\227.2=\dfrac{1}{2}\times (7.2+8.8)\times d\\\\227.2\times 2=16d\\\\\dfrac{454.4}{16}=d\\\\d=28.4\ cm$

Hence, the length of diagonal is 28.4 cm.

# learn more:

The area of quadrilateral is 227.2 cm and the length of the perpendicular from the opposite vertices to a diagonal are 7.2 cm and 8.8 cm .what is the length of the diagonal ?​

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