calculus- finding the area of these shapes

Question

Question 1

 

FInd the area -

Question 2

Find the Area -

Answer 1

Question 1

To get this area we've got to make this quad into 3 smaller shapes.

Left triangle: sidea=?; sideb=26; sidec=27.

Side a=c^2-b^2=a^2; 729-676=53^.5=7.28

7.28*26=189.28/2=94.641.

Right triangle: Same formula as above.

900-676=224^.5=14.966

14.97*26=389.133/2=194.566

Middle: 33-14.97-7.28=10.75

* 26

=279.5+94.64+194.56=568.7

Answer 2

Use the formula for a trapezoid:

A = [(b₁ + b₂)/2] (h)