Math, asked by Anonymous, 8 months ago


Find the area of the quadrilateral whose sides measure 9 cm, 40 cm,
28 cm and 15 cm, and in which the angle between the first two sides
is a right angle.

Answers

Answered by mrbangerwa80
1

Answer:

360cm^2

Step-by-step explanation:

area pf quadrilateral=side1×side2×angle between these 2 sides

9×40×sin90=360

Answered by Anonymous
8

In Quadrilateral ABCD

AB = 9CM

BC = 40CM

CD = 28CM

AD = 15CM

It has two triangle

Triangle ABC and Triangle ADC

In triangle ABC

Area of ABC = 1/2 × AB ×BC

= (1/2×9×40) CM²

= 180 CM²

In triangle ADC

Area of triangle ADC = 1/2×CD×AD

= (1/2×28×15) CM²

= 210 CM²

Hence, Area of Quadrilateral ABCD = 180 CM²+210CM²

= 390 CM²

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