Question

if each diagonal of a rohmbus is doubled how much will it's area increase.​

Answer 1

Answer:

Area will increase 2 times

Answer 2

Answer:

Formula used:

$\mathtt{Area \: of \: rhombus = \frac{pq}{2} }$

Here, p and q are diagonals.

Solution:-

First we find the original Area of Rhombus

$\mathtt{Area \: of \: rhombus = \frac{pq}{2} }$

Now find the new area when each diagonal is doubled.

$\mathtt{Area \: of \: rhombus = \frac{2p \times 2q}{2} }$

$\mathtt{ = \frac{4pq}{2} }$

$= \mathtt{ 2pq }$

Now divide new and original area of rhombus.

$\mathtt{ = 2pq \div \frac{pq}{2} }$

$\mathtt{ = 2pq \times \frac{2}{pq} }$

$= \mathtt{ 4 \: times }$

Area increased by 4 times.

Step-by-step explanation:

Hope this helps you.

# By sparkly princess