Question

Find the area of shaded region in following Figures.
b)​

Answer 1

Answer:

625

Step-by-step explanation:

as side * side = area just add up the total of all side and to get that each side =25 so for the area just multiply 25 into 25 = 625 =))

Answer 2

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➠ Need to find Shaded area of figure given in attachment !

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❏ To find the area of some figures which are not regular figure we take out area of whole square and subtract some area to get our required area.

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❏ This method is widely used in mathematics for area calculations.

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❏ Refer attachment for figure !

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Let's Start !

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First of all let's find area of whole square !

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Here side length of square = 20 + 5 = 25 units.

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$\boxed { \bold { Area \; of \; square = (Side \; length )^{2} } }$

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$\bold { : \implies Area \; of \; square = (25 )^{2} }$

$\bold { \red { : \implies Area \; of \; square = 625 \; sq. unit } }$

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Now in order to find the shaded (yellow area), we need to subtract area of small triangle(blue area) from area of whole square to get our answer !

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In small Triangle,

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Measure of base = 20 units

Measure of ⊥ height = 5 units

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$\boxed { \bold { Area \; of \; triangle =\dfrac{1}{2} \times Base\; \times (\perp ^r \;height) } }$

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$\bold { :\implies Area \; of \; one\; triangle =\dfrac{1}{2} \times 20\; \times 5 }$

$\bold { :\implies Area \; of \; one \; triangle =10\; \times 5 }$

$\bold { \orange { :\implies Area \; of \; 1 \; triangle =50 \;sq.units } }$

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But here there are 4 small triangles with blue color !

So we need to multiply Area of one triangle with 4 to get total area of blue color.

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$\bold { :\implies Area \; of \; 4 \; triangles = 4 \times Area \; of \; 1 \; triangle }$$\bold { :\implies Area \; of \; 4 \; triangles = 4 \times 50 \; sq.units }$

$\boxed { \bold {\red { :\implies Area \; of \; 4 \; triangles = 200 \; sq.units } } }$

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Now we are done with following information !

• Area of whole square = 625 units²
• Area of blue region/triangles = 200 units²

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Now we simply need to subtract and get area of shaded/yellow area !

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$\bold { Shaded \; Area = (Area \; of \; square) - ( Area \; of \; 4 \; triangle) }$

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$\bold { Yellow \; Area = (Area \; of \; square) - ( Blue\; Area) }$

$\bold { Shaded \; Area = (625 - 200 ) \; sq.units }$

$\boxed { \bold { \purple { :\leadsto \; Shaded \; Area = 425 \; sq.units } } }$

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$\boxed{\boxed{\bold{\therefore Shaded \; Area = 425 \; sq.units}}}$

   

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Hope this helps u.../

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