Question

area =468 cm2 d1= ? d2=26 m find the missing value of rombus​

Answer 1

✬ Missing value = 36 cm ✬

Step-by-step explanation:

Correct Question: Area should be in m² if one diagonal is in meter or if area is given in cm² then diagonal should be also in cm.

Given:

• Area of rhombus is 468 cm².
• Measure of second diagonal of rhombus is 26 cm.

To Find:

• What is the measure of first diagonal of rhombus ?

Solution: Let the first diagonal of rhombus be x cm.

As we know that the :-

★ Area of Rhombus = 1/2$\times$ (D¹) $\times$ (D²)★

A/q

• Area of rhombus = 468 cm²

$\implies{\rm }$ 468 = 1/2 $\times$ (d¹) $\times$ (d²)

$\implies{\rm }$ 468 = 1/2 $\times$ (x) $\times$ 26

$\implies{\rm }$ 468 = 13 $\times$ (x)

$\implies{\rm }$ 468 = 13x

$\implies{\rm }$ 468/13 = x

$\implies{\rm }$ 36 cm = x

Hence, the measure of first diagonal i.e d¹ is x = 36 cm.

_____________________

★ Verification ★

➟ 1/2 $\times$ d¹ $\times$ d² = 468 cm²

➟ 1/2 $\times$ 36 $\times$ 26 = 468 cm²

➟ 18 $\times$ 26 = 468 cm²

➟ 468 cm² = 468 cm²

[ Verified ]

• Rhombus is type of quadrilateral or parallelogram.

• All 4 sides of rhombus are equal.

• Perimeter of rhombus = 4(Side)

• Diagonals bisect each other at 90°.

• Opposite sides are parallel.