How many square feet bigger is Figure A than Figure B?
a. 319.5
b. 315
c. 4.5
d. 5.4

Answer:
Option: C is the correct answer.
C. 4.5
Step-by-step explanation:
Figure A--
It consist of a trapezium over a square of side 15 ft.
Total figure of Figure is:
Area of Trapezium+Area of square.
We know that:
Area of Trapezium is:
1/2 ×(sum of bases)×Height
=1/2×(12+15)×7
=94.5 squre ft.
Area of square is:
(Side)²
=(15)²
=225 square ft.
Hence, Total area of figure A is:
225+94.5
=319.5 square ft.
Figure B--
Area of figure B is:
Area of square+Area of equilateral triangle.
= (15)²+1/2×15×12
=225+90
=315 square ft.
Hence, the difference in the area of two figure is:
319.5-315
=4.5 square ft.