Question

Which has greater area a rectangle wih sides $16.8cmand14.4cm$ or a rhombus with diagonals $30cmand42cm$ and by how much?

• A. $388.08c{m}^2$
• B. $366.36c{m}^2$
• C. $355.36c{m}^2$
• D. $345.36c{m}^2$

Answer 1

Answer: (A)

$388.08c{m}^2$

Area of rectangle $=$ $l\times b=16.8\times 14.4=241.92{cm}^3$

Area of rhombus $=$ $\frac{1}{2}\times d_1\times d_2=\frac{1}{2}\times 30\times 42=630{cm}^2$

Area of rhombus is $(630-241.92=388.08{cm}^2)$ more than that of area of rectangle.