Question

2. The length of a rectangle is 24 cm and its
diagonal is 30 cm. Find its breadth and area.​

Answer 1

Answer:

breadth = 18 cm & area = 432 cm²

Step-by-step explanation:

length of rectangle (l) = 24 cm

diagonal of rectangle (d) = 30 cm

breadth² = d² - l²

                 = 30² - 24²

                 = 900 - 576 = 324

breadth(b) =$\sqrt{324}$ = 18 cm

area of rectangle = l x b

                             = 18 x 24

                             = 432 cm²

Answer 2

Answer:

$\huge \underline \bold {Given}:$

• Shape=Rectangle
• Length of the Rectangle=24cm
• Diagonal of the triangle=30cm

$\huge \underline \bold {To \: Find} :$

• It's Breadth and Area

$\huge \underline \bold {Solution} :$

Diagonal = √(Length)² + (Breadth)²

➞ 30 = √(24)² + (Breadth)²

➞ (30)² = (24)² + (Breadth)²

➞ 30 × 30 = 24 × 24 + (Breadth)²

➞ 900 = 576 + (Breadth)²

➞ 900 - 576 = (Breadth)²

➞ 324 = (Breadth)²

➞ √324 = Breadth

➞ 18cm = Breadth

______________________

➞ Area of Rectangle = Length × Breadth

➞ Area of Rectangle = 24 × 18

➞ Area of Rectangle = 432cm²

_______________________

Therefore, Area of the Rectangle is 432cm² and Breadth of the Rectangle is 18cm.

❥LEARN MORE !!

Formulas Related to Rectangle:

• Perimeter of Rectangle= 2(Length+Breadth)
• Area=(Length × Breadth)
• Length=Area/Breadth
• Breadth=Area/Length
• Diagonal=√(l)²+(b)²

_______________✿_______________

Hope it helps!!