The length&breadth of a rectangle are (x+5)cm&3cm respectively.Find the length if the area of the rectangle is 42 cm2.
length = x+5 cm
breadth = 3 cm
area = length x breadth
42 cm^2 = 3 cm(x+5 cm)
42 cm^2 = 3x cm + 15 cm^2
now solve for x
To find the length of the rectangle, we can use the formula for the area of a rectangle: length × breadth = area.
Given:
Breadth = 3 cm
Area = 42 cm²
Let's substitute the given values into the formula and solve for the length:
(length) × (breadth) = area
(length) × 3 = 42
Now, we need to isolate the length to one side of the equation. To do this, divide both sides of the equation by 3:
(length) = 42 ÷ 3
Calculating the right side of the equation:
(length) = 14
Therefore, the length of the rectangle is 14 cm.