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= $\frac{26}{2}$

b = 13

now,

A = l*b

   = 24 * 13

   = 312 cm square

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

Answer 2

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

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

$2(24+x)=72$

$24+x=36$

$x=12$

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