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dorothys bookmark is shown in the image below. what is the area of doro…

Question

dorothys bookmark is shown in the image below. what is the area of dorothys bookmark? 1 cm 9 cm 11 cm 5 cm the area of dorothys bookmark is square cm.

Explanation:

Step1: Split the shape

The bookmark can be split into a rectangle and a triangle. The rectangle has length \(5\) cm and height \(9\) cm. The triangle has a base of \(5 - 1=4\) cm and a height of \(11 - 9 = 2\) cm.

Step2: Calculate area of rectangle

Area of rectangle \(A_{rect}=length\times height = 5\times9 = 45\) \(cm^2\).

Step3: Calculate area of triangle

Area of triangle \(A_{tri}=\frac{1}{2}\times base\times height=\frac{1}{2}\times4\times2 = 4\) \(cm^2\).

Step4: Total area

Total area \(A = A_{rect}+A_{tri}=45 + 4=49\) \(cm^2\).

Answer:

49