How many square feet bigger is Figure A than Figure B?

Mathematics

2 answers:

Gemiola [76]3 years ago

6 0

Figure A is 319.5 and figure B is 315 so I subtracted and got 4.5 so the answer is C

Vadim26 [7]3 years ago

5 0

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.

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