Question

Photo included: If the perimeter is 58cm what is the area of this rectangle?​

Answer 1

2(4x+4) + 2x = 58
8x+8+2x=58
10x=50
x=5

Area = x(4x+4) = 5(20+4) = 5*24=120

Answer 2

Given :

• Length = 4x+4
• Breadth = x

To find :

• area of rectangle

Formula used :

• Perimeter = 2(l+b)

MethoD

`\bold{peremeter \: = \: 58cm} \\`

`\bold{2(l + b) = 58cm}`

`2 \{(4x + 4) + (x) \} \: = 58cm`

`8x + 8 + 2x = 58`

`10x + 8 = 58`

`10x = 58 - 8`

`10x = 50`

`x = 5cm \: \: \: \: \: \: \: \: \: \: \:`

`\bold \blue {\boxed{breadth \: = x = 5cm}}`

`\bold \purple{ \boxed{length \: = \: 4x + 4 = (4 * 5) + 4 = 20 + 4 = { \boxed{\boxed{20cm}}}}}`

Area = l×b sq.units

Area = 20cm×5cm

Area = 120cm²