Question

plssssss give me ans fast​

Answer 1

$\underline{\underline{\sf{\large{\pink{\bigstar{ \: Given:}}}}}}$

• Four Right angled triangle and one quadrilateral.
• AP = 30m
• PQ = 20m
• PR = 20m
• RD = 30m
• PB = 20m
• RC = 40m
• EQ = 30m

$\underline{\underline{\sf{\large{\pink{\bigstar{ \: To \: find :}}}}}}$

• Area of all field shown above.

$\underline{\underline{\sf{\red{\large{\bigstar{ \:Solution :}}}}}}$

${\boxed{\boxed{\green{ \sf{Area = \frac{1}{2} \times b \times h}}}}}$

In △ ABP :-

• AP = Height = 30m
• PB = Base = 20m

${ \sf{Area = \frac{1}{ \cancel2^{1} } \times \cancel{20}^{10} \times 30}}$

${\sf{Area = 1 \times 10 \times 30}}$

$\blue{\sf{Area = 300 \: {m}^{2} }}$

In △ AQE :-

• EQ = Base = 30 m
• Height = AP + PQ = 30 + 20 = 50m

${ \sf{Area = \frac{1}{ \cancel2^{1} } \times \cancel{30}^{15} \times 50}}$

${\sf{Area = 1 \times 15 \times 50}}$

$\blue{\sf{Area = 750 \: {m}^{2} }}$

In △ DEQ :-

• Base = EQ = 30m
• Height = RD + QR = 20 + 30 = 50m

${ \sf{Area = \frac{1}{ \cancel2^{1} } \times \cancel{30}^{15} \times 50}}$

${\sf{Area = 1 \times 15 \times 50}}$

$\blue{\sf{Area = 750 \: {m}^{2} }}$

In △ RDC :-

• Base = RC = 40m
• Height = RD = 30m

${ \sf{Area = \frac{1}{ \cancel2^{1} } \times \cancel{40}^{20} \times 30}}$

${\sf{Area = 1 \times 20\times 30}}$

$\blue{\sf{Area = 600 \: {m}^{2} }}$

${ \underline{ \underline{\sf{\pink {In \: Quadrilateral \: \: RPBC :-}}}}}$

Construction:-

• Draw BL Parallel and perpendicular to PR.

So, in Rectalgle RPBL :-

• Length = PQ + RQ = 20 + 20 = 40 m
• Breadth = 20 m

${\boxed{\boxed{\green{ \sf{Area = Length × Breadth }}}}}$

${ \sf{Area = 40 \times 20}}$

$\blue{\sf{Area = 800 \: {m}^{2} }}$

In △ LCB :-

• Height = BL = 40m
• Base = LC = 20m

${ \sf{Area = \frac{1}{ \cancel2^{1} } \times \cancel{20}^{10} \times 40}}$

${ \sf{Area = 10 \times 40}}$

$\blue{\sf{Area = 400 \: {m}^{2} }}$

So, Area of DEAC field shown above is :-

${ \sf{Area = 300 + 750 + 750 + 600 + 800 + 400 {m}^{2} }}$

${ \huge{ \boxed{ \boxed{ \red{\sf{Area = 4350 \: {m}^{2} }}}}}}$