Answer:
AB = 33.78228208
BD = 42.3
AT= 20.33068487
Area= 859.9879701
Step-by-step explanation:
Using the sin rule:
sinA = sinB
a b
If I use A = 90, a= 42.3
B = 53, b= AB
I get AB = 33.78228208 units
Then the diagonal is already 42.3 cm so I think. BD should be 42.3 cm too.
I used the sin rule again for ABD to find AD but by using B as 37° and b as AD.
I get AD = 25.45677548
For ADT,
AD is the hypotenuse.
Now I get from the same sin rule,
A= 90°. a= 25.45677548
B= 53°. b = AT
AT= 20.33068487 units.
Area of rectangle = l×b
= AB × AD
so that gives me 859.9879701 square units
