He ratio of the lengths of the corresponding sides of two rectangles is 8:3. the area of the larger rectangle is 320 ft2. what i

Question

Setler [38]

2 years ago

6

He ratio of the lengths of the corresponding sides of two rectangles is 8:3. the area of the larger rectangle is 320 ft2. what i

s the area of the smaller rectangle? 120 ft2 30 ft2 90 ft2 45 ft2

Mathematics

1 answer:

dusya [7] · Answer 1 · 2022-06-18T04:48:51+03:00

The answer is: [A]: " 120 ft² " .
_______________________________________________________
Explanation:
_______________________________________________________
Set up a ratio as a fraction:
_______________________________________________________

8/3 = 320/x ;
_______________________________________________________
Cross-multiply:
_____________________________________________________

8x = 3 * 320 ;

8x = 960 ;

Divide each side of the equation by "8" ;
to isolate "x" on one side of the equation ; and to solve for "x" ;
______________________________________________________
8x / 8 = 960 / 8 ;

to get: x = 120 .

The answer is: [A]: " 120 ft² " .
______________________________________________________