Answer:
length = 10 m
width = 8 m
Step-by-step explanation:
Framing algebraic expressions and finding the unknown value:
Ratio of length and width = 5 : 4
Length of the rectangle = 5x
Width of the rectangle = 4x
Area of rectangle = 80 cm²
Area of rectangle is given. So, we find the dimensions of the rectangle using the formula,
Area of rectangle = length * width
length *width = Area
5x * 4x = 80
20x² = 80
Divide both sides by 20,
x² = 80 ÷ 20
x² = 4
Taking square root, we get
[tex]\sf \sqrt{x^2} = \sqrt{4}\\\\~~~~~ x = 2[/tex]
Length = 5x
= 5 * 2
= 10
Width = 4x
= 4*2
= 8 m
[tex]\boxed{\bf length = 10 \ m ~~~ \& \ width = 8 \ m}[/tex]
