Answer:
5 1/3 ft ^2
Explanation:
The perimeter of the larger rectangle is 14, and we are given the length,
∴ sum of width of larger rectangle = 14 - 4 - 4
= 6
∴Width of larger rectangle = 6/2 = 3ft
Since the two rectangles are similar, their sides are in proportion,
to solve the equation 2/3 = ?/4, you can cross-multiply.
Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and vice versa.
2 * 4 = 8
3 * ? = 8
To find the value of "?," divide 8 by 3:
? = 8/3 ft
Area of rectangle = l*b
= (8/3) * 2
= 16/3
= 5 1/3 ft ^2