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A rectangular picture has the dimensions 4 cm by 7,5 cm. It is enlarged so that the dimensions of the picture are 8 cm by 15 cm. a) Calculate the area of glass required to frame the original picture.

Mathematics

ScanSolve AI Answer

Answer

320 cm2\text{320 cm}^2

Step-by-step solution

3 steps

  1. Identify the formula for the area of a triangle.

    The area of a triangle is given by the formula:

    A=12×base×heightA = \frac{1}{2} \times \text{base} \times \text{height}

  2. Substitute the given values into the formula.

    The base is 20 cm20 \text{ cm} and the height is 32 cm32 \text{ cm}.

    A=12×20 cm×32 cmA = \frac{1}{2} \times 20 \text{ cm} \times 32 \text{ cm}

  3. Calculate the area.

    A=10 cm×32 cmA = 10 \text{ cm} \times 32 \text{ cm} A=320 cm2A = 320 \text{ cm}^2

    The area of the road sign is 320 cm2∗\text{320 cm}^2*.

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