![\bold{\huge{\blue{\underline{ Solution \:5 }}}}](https://img.qammunity.org/2023/formulas/mathematics/college/jgqvle31uyzxhujad3hkowucze2d6vf437.png)
We have given ,
- The height of the parallelogram and the base of the parallelogram is 5in. and 4 in.
We know that,
![\sf{\pink{ Area\: of\: parallelogram = Base × Height }}](https://img.qammunity.org/2023/formulas/mathematics/college/jfrd3ticuq8ggiw8ntbjyfk5ntz401zsgp.png)
[Parallelogram is a polygon which having opposite sides parallel to each other and the length and breath of the parallelogram are equal ]
Subsitute the required values in the above formula :-
![\sf{ Area\: of\: parallelogram = 4 × 5 }](https://img.qammunity.org/2023/formulas/mathematics/college/tdg5upqx4opgoxfcdich153huquk35x2y0.png)
![\sf{ Area\: of\: parallelogram = 20 in. }](https://img.qammunity.org/2023/formulas/mathematics/college/xc7iisrotnfqzpwt9iadkkywvgjy0ngkpf.png)
Hence, Area of parallelogram is 20 inch
![\bold{\huge{\blue{\underline{ Solution\: 6 }}}}](https://img.qammunity.org/2023/formulas/mathematics/college/oqdvkyam066935cydbnk8t8kx1hkvmixjr.png)
We have given here,
- The height of the trapezium is 8 in and the length of 2 parallel side is 6 in. and 14 in.
We know that,
![\sf{\pink{ Area\: of\: trapezium = 1/2 ×(a + b) × Height }}](https://img.qammunity.org/2023/formulas/mathematics/college/o5g4p1qnn57sxx1t6a62ns8ydlsclyoh5r.png)
[Trapezium is figure that having two parallel sides and 2 non - parallel sides. ]
Subsitute the required values in the above formula :-
![\sf{ Area\: of\: trapezium = 1/2 ×(6+14)×8 }](https://img.qammunity.org/2023/formulas/mathematics/college/yxnhpmudmxq3w83ww8z5qfifzfq8z7mefk.png)
![\sf{ Area\: of\: trapezium = 1/2 × 20 × 8 }](https://img.qammunity.org/2023/formulas/mathematics/college/mvif1u202onbqw094n027lba7zamfvn7cz.png)
![\sf{ Area\: of\: trapezium = 10 × 8 }](https://img.qammunity.org/2023/formulas/mathematics/college/se275anipcs4q8tjwcievzr693yg69btps.png)
![\sf{ Area\: of\: trapezium = 80 in. }](https://img.qammunity.org/2023/formulas/mathematics/college/nwq9t1g12mcf1z8td1tas5e6zo4e9dnueb.png)
Hence, Area of trapezium is 80 inch.