Question

The area of a quadrilateral shaped field is 252m²
The perpendicular dropped.On it from the
opposite corners on a diagonal are 8m and 13m
find the length of a diagonal
Helpp​

Answer 1

Given:

• The area of a quadrilateral shaped field is 252m².
• The opposite corners on a diagonal are 8m and 13m.

To find:

• The length of a diagonal ?

Solution:

• Let's consider ABCD is a quadrilateral.

Where,

• H₁ = 8m
• H₂ = 13m
• Area = 252m²

• Let height of the quadrilateral be h.

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« Now, Finding area of quadrilateral by using the formula,

→ Area = d/2(H₁ + H₂)

→ d/2(13 + 8) = 252

→ d/2(21) = 252

→ 10.5d = 252

→ d = 252/10.5

→ d = 24cm

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∴ Hence, Length of a diagonal of a Quadrilateral is 24cm.

Answer 2

$\sf \: Let's \: consider \: MNOP \: is \: quadrilateral \: with\\H_1 = 8m \\ H₂ = 13m \\ \sf \: Area = 252m² \\ \sf \: Let \: height \: of \: quadrilateral \: be \: h. \\ \\ \sf{ \red{Area \: of \: quadrilateral}} \: \sf { \green{ = d/2(H_1 + H₂)}} \\ \sf \: → d/2(13 + 8) = 252 \\ → \sf \: d/2(21) = 252 \\ → \sf \: 10.5d = 252 \\ → \sf \: d = 252/10.5 \\ → \sf \: d = 24cm \\ \sf \: Length \: of \: diagonal \: is \: 24cm$

$\sf{@WildCat7083 }$