Question

The area of a quadrilateral shaped field is 10 sq m and the lengths of the perpendicular dropped on the diagonal from the remaining opposite vertices are 1.5 m and 2.5 m. Find the length of the diagonal.

Select one:
40 m
10 m
20 m
5 m

Answer 1

Answer :- Your answer is = 40 m { A }

HOPE THIS HELPS YOU !!

Answer 2

The length of the diagonal is 5 m.

Given - Area and length of the perpendicular

Find - Length of diagonal

Solution - The formula to calculate the length of the diagonal will be -

Area of quadrilateral = (½) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.

Keep the values in the formula to find the length of the diagonal.

$10 = \frac{1}{2 }\times \: diagonal \: length \times (1.5 + 2.5)$

Shifting 2 to LHS and performing addition on RHS

$10 \times 2 = diagonal \: length \times 4.0$

Shifting 4.0 to LHS and performing division and multiplication

$\frac{20}{4.0} = diagonal \: length$

diagonal length = 5 m

Hence, the length of the diagonal is 5 m.