Perimeter is the distance around a plane shape.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the definitions and formulas presented in the image:
Perimeter is the distance around a plane shape.
Area is the amount of surface covered by the figure.
1. Rectangle
Length $L$, Breadth $B$
Perimeter:
$$P = L + B + L + B$$
$$P = 2L + 2B$$
$$P = 2 \times (L + B)$$
Area:
$$A = L \times B$$
The formulas for a rectangle are:
Perimeter: $\boxed{\mathbf{P = 2(L + B)}}$
Area: $\boxed{\mathbf{A = L \times B}}$
2. Square
Side $L$
Perimeter:
$$P = L + L + L + L$$
$$P = 4L$$
Area:
$$A = L \times L = L^2$$
The formulas for a square are:
Perimeter: $\boxed{\mathbf{P = 4L}}$
Area: $\boxed{\mathbf{A = L^2}}$
3. Triangle $PQR$
Height $PS$
In the triangle $PQR$, $PS$ represents the height corresponding to the base $QR$. The height is the perpendicular distance from a vertex to the opposite side (or its extension).
