Attend live Mathematics sessions on Nagwa Classes to learn more about this topic from an expert teacher!

The figure shows a rhombus within a rectangle. Find the area of the rhombus to two decimal places.

Looking at the diagram, we notice that the vertices of the rhombus are each at the midpoint of one of the rectangle sides. We know this because these line markers indicate that, for example, line segment π΄π is the same length as line segment ππ·. From this, we can deduce that the diagonals of the rhombus, thatβs ππ and ππ, are each parallel to one side of the rectangle. And so it follows that theyβre also the same length as the rectangle sides. So ππ is 15.8 centimeters and ππ is 30.3 centimeters.

We can then recall that the area of a rhombus is equal to half the product of the lengths of its diagonals. If the lengths of the diagonals are π one and π two, then the area of a rhombus is π one multiplied by π two over two. So the area of the rhombus ππππ is equal to the length of ππ multiplied by the length of ππ over two. Thatβs 30.3 multiplied by 15.8 over two, which is 293.37 square centimeters.

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy