The perimeter of a rectangle measuring (2x + 2)cm by (3x -3) cm is 58cm. Calculate its area. 13. The perimeter
1 answer:
Given:
The length of the given rectangle is l =(2x+2) cm.
The width of the given rectangle is w =(3x-3) cm.
The perimeter of the given rectangle is P =58cm.
Required:
We need to find the area of the rectangle.
Explanation:
Consider the perimeter of the rectangle formula.
Substitute l=2x+2, w =3x-3 and P=58 in the formula.
Add 2 to both sides of the equation.
Divide both sides by 10.
Substitute x =6 in the equations l=2x+2.
The area of the rectangle is
Substitute l=14cm and w =15cm in the formula.
Final answer:
The area of the given rectangle is 210 square cm.
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