Question

Which of the following statements is correct?
Rectangle A: $Length=\frac{7}{10}ft,Width=\frac{16}{21}ft$

Rectangle B: $Length=\frac{25}{15}ft,Width=\frac{6}{7}ft$

Answer 1

Rectangle A:
$Length=\frac{7}{10}ft,Width=\frac{16}{21}ft$
Area of rectangle $A=\frac{7}{10}ft\times \frac{16}{21}ft=\frac{7\times 16}{10\times 21}=\frac{112}{210}sqft$

Rectangle B:
$Length=\frac{25}{15}ft,Width=\frac{6}{7}ft$
Area of rectangle $B=\frac{25}{15}ft\times \frac{6}{7}ft=\frac{25\times 6}{15\times 7}=\frac{150}{105}sqft$
Difference between the area of rectangle $A$ and the area of rectangle $B=$ Area of rectangle $B-$ Area of rectangle $A$
Area of rectangle $A=\frac{112}{210}sqft$
Area of rectangle $B=\frac{150}{105}sqft=\frac{150\times 2}{105\times 2}=\frac{300}{210}sqft$
Area of rectangle $B-$ Area of rectangle $A$ = $\frac{300}{210}sqft-\frac{112}{210}sqft$
$=\frac{300-112}{210}=\frac{188}{210}=\frac{95}{105}sqft$
Hence, option B is correct.