Question

please solve this questions please​

Answer 1

Answer:

THE ANSWER IS 320m²

Step-by-step explanation:

AREA OF TRAPEZIUM =1/2*h(a+b)

                                     =1/2*16*(18+22)

                                     =1/2*16*40

                                     =8*40

                                    =320m²

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Answer 2

☆ DIAGRAM ☆

$\setlength{\unitlength}{1 mm}\begin{picture}(0,0)\put(30,-2){ \tt{22\:m} }\put(-16,-2){ \tt{18\:m} }\put(13,-14){ \tt{a} }\put(13,10){ \tt{b} }\put(2,-2){ \tt{H =16\: m} }\put(-5,6){ \tt{D} }\put(28,6){ \tt{C} }\put(-12,-8){ \tt{A} }\put(31,-8){ \tt{B} }\put(1,8){\line(0,-6){17}}\put(30.3,-8.8){\line(-4,0){39.5}}\put(26,8){\line(1,-4){4.2}}\put(1,8){\line(8,0){25}}\put(1,8){\line(-2,-13){10}}\end{picture}$

GIVEN:

• perimeter of (ABCD) = 104m.
• Altitude of (ABCD) = 16m.
• AD and BC are non - parallel sides , AD = 18m and BC = 22m.

TO FIND:

• Area of trapezium (ABCD)

SOLUTION:

• To find are of trapezium (ABCD) , First we have to find the sum of parallel sides of trapezium.

A.T.Q

• perimeter of trapezium (ABCD) = 104m

=> AB + BC + CD + AD =104

=> a + 22 + b + 18 = 104

=> a + b = 104 - 40

=> a + b = 64

=> a + b = 64m

• Area of trapezium (ABCD) = 1/2 (a + b) × h

= 1/2 (a + b) × h

= 1/2 (64) × 16

= 1024/2

= 512 m²

✔ Therefore, the are of trapezium (ABCD) is 512 m² .