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clintonskippings
27.07.2020 •
Mathematics
(Pls do solution or take picture)In the figure, ACEF is a rectangle and BC = CD DE The area of rectangle ACEF is 80 cm. Find the area of the triangle BDF.
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Ответ:
28 cm²
Step-by-step explanation:
The area of Δ BDF is the area of the rectangle subtract the area of the 3 white triangles.
Since the area of the rectangle = 80 cm² and
area = length × breadth, then
breadth = 80 ÷ 10 = 8 cm
Thus CE = EF = 8 cm and CD = DE = BC = 4 cm
Area of Δ DEF = 0.5 × 10 × 4 = 20 cm²
Area of Δ ABF = 0.5 × 8 × (10 - 4) = 0.5 × 8 × 6 = 24 cm²
Area of Δ BCD = 0.5 × 4 × 4 = 8 cm²
Thus
area of Δ BDF = 80 - (20 + 24 + 8) = 80 - 52 = 28 cm²
Ответ:
Part 1) The scale for the drawings without units are 1/12 and 1/36
Part 2) The scale drawing 1/12 is 3 times larger than the scale drawing of 1/36. The explanation in the procedure
Step-by-step explanation:
we know that
1) Lin used a scale of![\frac{1}{1} \frac{in}{ft}](/tpl/images/0275/6391/ef963.png)
Remember that
1 ft=12 in
substitute in the scale
That means ----> 1 unit in the drawing represent 12 units in the actual
2) Her brother used a scale of![\frac{1}{1} \frac{in}{yd}](/tpl/images/0275/6391/85900.png)
Remember that
1 yd=36 in
substitute in the scale
That means ----> 1 unit in the drawing represent 36 units in the actual
therefore
The scale for the drawings without units are 1/12 and 1/36
Part 2) Whose drawing is larger?
The scale drawing 1/12 is larger than the scale drawing of 1/36
To find out how many times as large is the scale 1/12 than the scale of 1/36
Divide 1/12 by 1/36
The scale drawing 1/12 is 3 times larger than the scale drawing of 1/36
Explanation
Let supposing that we want to represent in the drawing a measure that in its real size measures 36 units.
In the scale of 1/12, the drawing will show a measure of 3 units (remember 3(12)=36 units).
At the 1/36 scale, the drawing will show a measurement of 1 unit (remember 1(36)=36 units).
Therefore the largest drawing will be with a scale of 1/12.