Question

LOOK AT THE PIC BELOW

Answer 1

C, 19858.5
`ft^2`

Explanation:

Imagine that these are two semi-circles on either side of a rectangle

the diameter of the semi circle is 90, and the radius is half of the diameter.

this means the radius is 45 (for both circles)

so now lets apply that to the area of a full circle,
`\pi r^2`

replace r with the radius
`\pi 45^2`

using 3.14 as pi, your answer should be 6358.5

but now remember that his is the area of a full circle, not a semi circle, so we must divide by 2 to get the semi circle area, which would then be 3179.25

since there's two semi circles, you would multiply this by two and now you're back to 6358.5

if that was confusing you can think of it as a full circle split into two parts on either side of the rectangle rather than two semicircles, so the two split pieces would add together to make the area of a full circle

now calculate the area of the rectangle, which is length times width

150 * 90 = 13500

so add the area of the rectangle to the area of the two semicircles and the answer is 19,858.5 :)

Answer 2

TO FIND THE AREA OF A RECTANGLE, THAT IS L×B OR L× W (WIDTH/BREADTH) IS THE SAME THING. KEEP THAT IN MIND. SO : 90FT × 150FT. = 13500FTSQ.

BUT WE ARENT FINISHED . YOU NEED TO FIND THE AREA OF BOTH SEMICIRCLES (SEMI MEANS HALF) , SO HENCE, THE AREA OF BOTH HALF SEMICIRCLES.

THAT IS : PIRSQUARED. PI×R×R.

THE RADIUS IS UNKNOWN. SO WE WILL USE THE DIAMETER TO FIND THE RADIUS SINCE THE DIAMETER IS TWICE THE RADIUS.

THAT IS : 90÷2 , THAT IS = 45.

SO WE KNOW THE RADIUS OF EACH SEMI CIRCLE IS 45. SO NOW :

PIRSQUARED = PI × R×R

3.14 × 45×45 OR 45SQUARED.

THAT IS : 6,358.5 FT SQUARED.

NOW 6,358.5FT SQ IS ONLY THE AREA OF ONE SEMICIRCLE. SO NOW WE KNOW THAT BOTH SEMICIRCLES HAVE A AREA OF 6,358.5 FT SQ.

WE WILL ADD : 6,358.5 + 6,358.5 = 12,717.

YOU ARE GOING TO ADD THE AREA OF BOTH HALF CIRCLES TO THE AREA OF THE RECTANGLE.

= 26,217FT SQ.

SINCE THEY ARE PROBABLY ONLY ASKING FOR THE AREA OF THE RECTANGLE, THEN THE ANSWER WOULD BE 13500FT SQ INSTEAD OF 26,217. NOT SURE