Question

The area of a rhombus is 480m² and one of the diagonals is 160cm. Find the other

diagonal.​

Answer 1

♣ᴄᴏʀʀᴇᴄᴛ ǫᴜᴇsᴛɪᴏɴ:–

The area of a rhombus is 480cm² and one of the diagonals is 160cm. Find the other diagonal.

♣ɢɪᴠᴇɴ:–

• Area of the Rhombus = 480cm²
• One of the diagonal (d₁) = 160 cm

♣ᴛᴏ ғɪɴᴅ:–

• ᴛhe other diagonal (d₂) = ?

♣sᴏʟᴜᴛɪᴏɴ:–

We know the formula of finding the area of a rhombus :—

• Area of the rhombus = ½ × d₁ × d₂

→ 480 = ½ × 160 × d₂

→ 480 = 80 × d₂

→ 480/80= d₂

→ 6 = d₂

→ d₂ = 6

∴ the other diagonal = 6 cm

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♣ᴀɴsᴡᴇʀ:–

• The length of the other diagonal is 6 cm

Answer 2

$\huge\sf{Given:-}$

area of a rhombus is =480m²

one of the diagonals is= 160cm

$\huge\sf{Solution:-}$

$\sf \red{It \:can \:be \:written \:as},$

$\sf \dfrac{1}{2}\times diagonal_1×diagonal_2 =480$

$\sf \red{So\:we\:get},$

$\sf \dfrac{1}{2}\times 160×diagonal_2 =480$

On further calculation

$\sf Diagonal _2 = 6cm$