Question

The area of a quadrilateral shaped field is 252 m². The perpendiculars dropped on it from the opposite corners on a diagonal are 8 m and 13 m. Find the length of a diagonal a rectangle is 80m, then whose area is more and how much?​

Answer 1

Answer:

Length of the diagonal is 24 m.

The area of the quadrilateral ABCD is 252 sq. m

The diagonal is BD and perpendiculars are drawn from A and C on BD.

The lengths of the perpendicular is 8 m and 13 m.

Let , AM = 8 m and CN = 13 m

Now the area of the Quadrilateral ABCD is the sum of triangle ABD and triangle BCD.

Area of triangle ABD = 1/2×BD×AM

Area of triangle BCD = 1/2×BD×CN

Area of quad ABCD = Area of triangle ABD + Area of triangle BCD

252 = 1/2×BD×AM + 1/2×BD×CN

252 = 1/2×BD×(AM + CN)

252 = 1/2×BD×(8 + 13)

252×2 / 21 = BD

Now, BD = 24 m

Length of the diagonal is 24 m.

Step-by-step explanation:

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Answer 2

Answer:

Length of diagonal is

Step-by-step explanation:

24m