Question

the top of a table is made up of triangles and rectangles. the table and its dimensions in inches are shown in the diagram.
what is the area of the top of the table in square inches?
enter your answer in the box provided.

Explanation:

Step1: Identify shapes and dimensions

Break the figure into 2 congruent right triangles, 1 small rectangle, and 1 large rectangle.

• Triangles: base $30$ in, height $30$ in
• Small rectangle: $30$ in $\times 30$ in
• Large rectangle: $(30+30)$ in $\times 100$ in = $60$ in $\times 100$ in

Step2: Calculate area of triangles

Area of 1 triangle: $\frac{1}{2} \times 30 \times 30 = 450$ sq in
Area of 2 triangles: $2 \times 450 = 900$ sq in

Step3: Calculate area of small rectangle

$30 \times 30 = 900$ sq in

Step4: Calculate area of large rectangle

$60 \times 100 = 6000$ sq in

Step5: Sum all areas

Total area = $900 + 900 + 6000 = 9000$ sq in

Answer:

9000 square inches