Question

(20 points)I need help please

Answer 1

Answer: Solution,

length (l) = 24 cm

perimeter (p)= 74 cm

Area (A) = ?

we know,

P = 2(l + b )

74 = 2( 24 + b)

74 = 48 + 2b

2b = 74 - 48

2b = 26

b=
`(26)/(2)`

b = 13

now,

A = l*b

= 24 * 13

= 312 cm square

Therefore, the area of the rectangle is 312 cm square.

Answer 2

`\text{Suppose the width of the rectangle is }x\text{ cm}`

`\text{then the perimeter can be expressed as}`

`2(24+x)=72`

`24+x=36`

`x=12`

`\text{Therefore the area of the rectangle is }24\cdot x=24\cdot 12=288\text{ cm}{}^2`